{"id":"https://openalex.org/W7221013944","doi":"https://doi.org/10.48550/arxiv.2610.10377","title":"Crystallization of the quantum Stiefel manifolds $SO_q(2n+1)/SO_q(2n-1)$","display_name":"Crystallization of the quantum Stiefel manifolds $SO_q(2n+1)/SO_q(2n-1)$","publication_year":2026,"publication_date":"2026-10-07","ids":{"openalex":"https://openalex.org/W7221013944","doi":"https://doi.org/10.48550/arxiv.2610.10377"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.10377","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.10377","pdf_url":"https://arxiv.org/pdf/2610.10377","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.10377","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102916445","display_name":"Surajit Biswas","orcid":"https://orcid.org/0000-0001-9773-4016","observed_orcids":["https://orcid.org/0000-0001-9773-4016"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Biswas, Surajit","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157908228","display_name":"Vinay Deshpande","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Deshpande, Vinay","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089329257","display_name":"Bipul Saurabh","orcid":"https://orcid.org/0000-0002-8582-2462","observed_orcids":["https://orcid.org/0000-0002-8582-2462"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saurabh, Bipul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/crystallization","display_name":"crystallization","score":0.6069999933242798},{"id":"https://openalex.org/keywords/c-algebras","display_name":"C*-algebras","score":0.8640000224113464},{"id":"https://openalex.org/keywords/irreducible-representations","display_name":"irreducible representations","score":0.7929999828338623},{"id":"https://openalex.org/keywords/universal-c-algebras","display_name":"universal C*-algebras","score":0.9300000071525574},{"id":"https://openalex.org/keywords/k-groups","display_name":"K-groups","score":0.7860000133514404},{"id":"https://openalex.org/keywords/short-exact-sequences","display_name":"short exact sequences","score":0.8659999966621399},{"id":"https://openalex.org/keywords/quantum-groups","display_name":"quantum groups","score":0.49000000953674316}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7123000025749207},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5932999849319458},{"id":"https://openalex.org/C160873635","wikidata":"https://www.wikidata.org/wiki/Q17148807","display_name":"Unital","level":3,"score":0.5586000084877014},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.535099983215332},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5249999761581421},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48330000042915344},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.48179998993873596},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4706000089645386},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4611000120639801},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.40230000019073486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3553999960422516},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32120001316070557},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32010000944137573},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.31459999084472656},{"id":"https://openalex.org/C197273675","wikidata":"https://www.wikidata.org/wiki/Q13220368","display_name":"Representation theory","level":2,"score":0.305400013923645},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.288100004196167},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.26510000228881836},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.26170000433921814},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.2529999911785126}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.10377","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.10377","pdf_url":"https://arxiv.org/pdf/2610.10377","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,"listed_in":[],"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":"doi:10.48550/arxiv.2610.10377","doi":"https://doi.org/10.48550/arxiv.2610.10377","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.10377","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.10377","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.10377","pdf_url":"https://arxiv.org/pdf/2610.10377","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,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221013944.pdf","grobid_xml":"https://content.openalex.org/works/W7221013944.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4417098471","https://openalex.org/W7130693292"],"related_works":["https://openalex.org/W4407369753","https://openalex.org/W2276239286","https://openalex.org/W7168367184","https://openalex.org/W4391871256","https://openalex.org/W4406376333","https://openalex.org/W7167597428","https://openalex.org/W4221159715","https://openalex.org/W7154306066","https://openalex.org/W1980646332","https://openalex.org/W2795887644"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,39,89],"introduce":[4],"the":[5,9,22,44,73,84],"crystallization":[6],"$C(SO_0(2n+1)/SO_0(2n-1))$":[7,19,42,76,92],"of":[8,18,28,31,34,52,61,67,75,86],"$C^*$-algebra":[10,46],"$C(SO_q(2n+1)/SO_q(2n-1))$.":[11,35],"We":[12,56],"show":[13],"that":[14,41,91],"every":[15,98],"irreducible":[16,32],"representation":[17],"arises":[20],"as":[21,24],"limit,":[23],"$q":[25,99],"\\to":[26],"0^+$,":[27],"a":[29,37,49,59],"family":[30],"representations":[33],"As":[36],"consequence,":[38],"prove":[40,90],"is":[43,93],"universal":[45],"generated":[47],"by":[48],"finite":[50],"set":[51],"generators":[53,80],"and":[54,77],"relations.":[55],"then":[57],"construct":[58],"chain":[60],"unital":[62],"essential":[63],"short":[64],"exact":[65],"sequences":[66],"$C^*$-algebras,":[68],"enabling":[69],"us":[70],"to":[71,95],"compute":[72],"$K$-groups":[74],"determine":[78],"explicit":[79],"for":[81,97],"them.":[82],"Using":[83],"theory":[85],"homogeneous":[87],"$C^*$-extensions,":[88],"isomorphic":[94],"$C(SO_q(2n+1)/SO_q(2n-1))$":[96],"\\in":[100],"(0,1)$.":[101]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-09T00:00:00"}
