{"id":"https://openalex.org/W62546325","doi":"https://doi.org/10.1007/978-3-642-28551-6_19","title":"Simultaneous Diagonalization of Skew-Symmetric Matrices in the Symplectic Group","display_name":"Simultaneous Diagonalization of Skew-Symmetric Matrices in the Symplectic Group","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W62546325","doi":"https://doi.org/10.1007/978-3-642-28551-6_19","mag":"62546325"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-28551-6_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28551-6_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111490654","display_name":"Frank C. Meinecke","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frank C. Meinecke","raw_affiliation_strings":["Machine Learning Group, Institute for Computer Science, TU Berlin, Germany","Machine Learning Group, Institute for Computer Science, TU Berlin, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Machine Learning Group, Institute for Computer Science, TU Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Machine Learning Group, Institute for Computer Science, TU Berlin, Germany#TAB#","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111490654"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04579439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"147","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10860","display_name":"Speech and Audio Processing","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9740999937057495,"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/symplectic-geometry","display_name":"Symplectic geometry","score":0.8219701051712036},{"id":"https://openalex.org/keywords/symplectic-group","display_name":"Symplectic group","score":0.7209643125534058},{"id":"https://openalex.org/keywords/skew-symmetric-matrix","display_name":"Skew-symmetric matrix","score":0.6719029545783997},{"id":"https://openalex.org/keywords/symplectic-matrix","display_name":"Symplectic matrix","score":0.635901689529419},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.5741727948188782},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.49449631571769714},{"id":"https://openalex.org/keywords/orthogonal-group","display_name":"Orthogonal group","score":0.45342326164245605},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.43939658999443054},{"id":"https://openalex.org/keywords/euclidean-group","display_name":"Euclidean group","score":0.43297839164733887},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.41117435693740845},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4104357063770294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40756872296333313},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38707247376441956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3826982378959656},{"id":"https://openalex.org/keywords/symplectic-representation","display_name":"Symplectic representation","score":0.35418370366096497},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.325683057308197},{"id":"https://openalex.org/keywords/moment-map","display_name":"Moment map","score":0.20783784985542297},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12035608291625977},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10184696316719055},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09952035546302795},{"id":"https://openalex.org/keywords/square-matrix","display_name":"Square matrix","score":0.08510887622833252},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06100699305534363},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.05899310111999512}],"concepts":[{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.8219701051712036},{"id":"https://openalex.org/C175322374","wikidata":"https://www.wikidata.org/wiki/Q936434","display_name":"Symplectic group","level":3,"score":0.7209643125534058},{"id":"https://openalex.org/C41106240","wikidata":"https://www.wikidata.org/wiki/Q526790","display_name":"Skew-symmetric matrix","level":5,"score":0.6719029545783997},{"id":"https://openalex.org/C185535465","wikidata":"https://www.wikidata.org/wiki/Q2705070","display_name":"Symplectic matrix","level":5,"score":0.635901689529419},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.5741727948188782},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.49449631571769714},{"id":"https://openalex.org/C146561895","wikidata":"https://www.wikidata.org/wiki/Q1783179","display_name":"Orthogonal group","level":2,"score":0.45342326164245605},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.43939658999443054},{"id":"https://openalex.org/C19939924","wikidata":"https://www.wikidata.org/wiki/Q852195","display_name":"Euclidean group","level":4,"score":0.43297839164733887},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.41117435693740845},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4104357063770294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40756872296333313},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38707247376441956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3826982378959656},{"id":"https://openalex.org/C104586451","wikidata":"https://www.wikidata.org/wiki/Q771008","display_name":"Symplectic representation","level":4,"score":0.35418370366096497},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.325683057308197},{"id":"https://openalex.org/C40265840","wikidata":"https://www.wikidata.org/wiki/Q6897118","display_name":"Moment map","level":3,"score":0.20783784985542297},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12035608291625977},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10184696316719055},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09952035546302795},{"id":"https://openalex.org/C69044650","wikidata":"https://www.wikidata.org/wiki/Q2739329","display_name":"Square matrix","level":4,"score":0.08510887622833252},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06100699305534363},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.05899310111999512},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-28551-6_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28551-6_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1524841735","https://openalex.org/W2030025698","https://openalex.org/W2053037153","https://openalex.org/W2077491345","https://openalex.org/W2124757684","https://openalex.org/W2142638745"],"related_works":["https://openalex.org/W2359381322","https://openalex.org/W2995158377","https://openalex.org/W2076925422","https://openalex.org/W2098447220","https://openalex.org/W4313348927","https://openalex.org/W17130399","https://openalex.org/W4298314373","https://openalex.org/W1972672132","https://openalex.org/W3020916645","https://openalex.org/W62546325"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
