{"id":"https://openalex.org/W2396368166","doi":"https://doi.org/10.1007/s00037-016-0148-5","title":"On the hardness of the noncommutative determinant","display_name":"On the hardness of the noncommutative determinant","publication_year":2016,"publication_date":"2016-11-30","ids":{"openalex":"https://openalex.org/W2396368166","doi":"https://doi.org/10.1007/s00037-016-0148-5","mag":"2396368166"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-016-0148-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0148-5","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0910.2370","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003212467","display_name":"V. Arvind","orcid":"https://orcid.org/0000-0002-1988-7866"},"institutions":[{"id":"https://openalex.org/I59611059","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05078rg59","country_code":"IN","type":"facility","lineage":["https://openalex.org/I59611059"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"V. Arvind","raw_affiliation_strings":["The Institute of Mathematical Sciences (HBNI), C.I.T. Campus, Chennai, India","The Institute of Mathematical Sciences (HBNI)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Mathematical Sciences (HBNI), C.I.T. Campus, Chennai, India","institution_ids":["https://openalex.org/I59611059"]},{"raw_affiliation_string":"The Institute of Mathematical Sciences (HBNI)","institution_ids":["https://openalex.org/I59611059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025305994","display_name":"Srikanth Srinivasan","orcid":"https://orcid.org/0000-0001-6491-124X"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Srikanth Srinivasan","raw_affiliation_strings":["Department of Mathematics, IIT Bombay, Mumbai, India","IIT, Bombay#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, IIT Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]},{"raw_affiliation_string":"IIT, Bombay#TAB#","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003212467"],"corresponding_institution_ids":["https://openalex.org/I59611059"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03011126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.9857468008995056},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7260651588439941},{"id":"https://openalex.org/keywords/noncommutative-algebraic-geometry","display_name":"Noncommutative algebraic geometry","score":0.6249386072158813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6093723177909851},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5924020409584045},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5150210857391357},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5035399794578552},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.458133727312088},{"id":"https://openalex.org/keywords/noncommutative-quantum-field-theory","display_name":"Noncommutative quantum field theory","score":0.3704046308994293},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36984947323799133},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2772403955459595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06116926670074463}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.9857468008995056},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7260651588439941},{"id":"https://openalex.org/C193645952","wikidata":"https://www.wikidata.org/wiki/Q7049219","display_name":"Noncommutative algebraic geometry","level":4,"score":0.6249386072158813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6093723177909851},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5924020409584045},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5150210857391357},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5035399794578552},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.458133727312088},{"id":"https://openalex.org/C29384965","wikidata":"https://www.wikidata.org/wiki/Q7049223","display_name":"Noncommutative quantum field theory","level":3,"score":0.3704046308994293},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36984947323799133},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2772403955459595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06116926670074463}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s00037-016-0148-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0148-5","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0910.2370","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0910.2370","pdf_url":"https://arxiv.org/pdf/0910.2370","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.768.9039","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.768.9039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0910.2370.pdf","raw_type":"text"},{"id":"pmh:oai:dsapce.library.iitb.ac.in:100/22928","is_oa":false,"landing_page_url":"http://dspace.library.iitb.ac.in/xmlui/handle/100/22928","pdf_url":null,"source":{"id":"https://openalex.org/S4306400899","display_name":"DSpace (IIT Bombay)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162827531","host_organization_name":"Indian Institute of Technology Bombay","host_organization_lineage":["https://openalex.org/I162827531"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:dspace.library.iitb.ac.in:100/22928","is_oa":false,"landing_page_url":"http://doi.org/10.1002/2014GL061117","pdf_url":null,"source":{"id":"https://openalex.org/S4306400899","display_name":"DSpace (IIT Bombay)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I162827531","host_organization_name":"Indian Institute of Technology Bombay","host_organization_lineage":["https://openalex.org/I162827531"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.0910.2370","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0910.2370","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:2396368166","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc16.html#ArvindS09","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0910.2370","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0910.2370","pdf_url":"https://arxiv.org/pdf/0910.2370","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1488671644","https://openalex.org/W1592745891","https://openalex.org/W1648936667","https://openalex.org/W1736584826","https://openalex.org/W1972627295","https://openalex.org/W1979446688","https://openalex.org/W2003105048","https://openalex.org/W2006912660","https://openalex.org/W2053708783","https://openalex.org/W2064524663","https://openalex.org/W2080611428","https://openalex.org/W2083553352","https://openalex.org/W2121894367","https://openalex.org/W2135189187","https://openalex.org/W2158111726","https://openalex.org/W2964195296","https://openalex.org/W3187249085","https://openalex.org/W4212951465","https://openalex.org/W4240781210"],"related_works":["https://openalex.org/W2559420014","https://openalex.org/W3098063258","https://openalex.org/W2963454743","https://openalex.org/W2011410781","https://openalex.org/W2963228611","https://openalex.org/W2090910374","https://openalex.org/W3045941045","https://openalex.org/W3201714619","https://openalex.org/W2580066675","https://openalex.org/W3106868645","https://openalex.org/W2956604034","https://openalex.org/W2607140410","https://openalex.org/W2951640949","https://openalex.org/W2163893712","https://openalex.org/W1998021339","https://openalex.org/W1600717434","https://openalex.org/W2123775375","https://openalex.org/W3013329115","https://openalex.org/W2963065034","https://openalex.org/W2895433638"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}