SYMPLECTIC DECOMPOSITION OF SYMPLECTIC SUBSPACES

Name: Work Video:
Duration: 3 min 30 s
Description: We introduce a decomposition on a symplectic subspace determined by symplectic structure and study its properties. As a consequence, we give an elementary proof of the deformation of the Grassmannians of symplectic subspaces to the complex Grassmannians.
Jae-Hyouk Lee
{'id': 'https://openalex.org/W2098447220', 'doi': 'https://doi.org/10.7468/jksmeb.2015.22.1.13', 'title': 'SYMPLECTIC DECOMPOSITION OF SYMPLECTIC SUBSPACES', 'display_name': 'SYMPLECTIC DECOMPOSITION OF SYMPLECTIC SUBSPACES', 'publication_year': 2015, 'publication_date': '2015-02-28', 'ids': {'openalex': 'https://openalex.org/W2098447220', 'doi': 'https://doi.org/10.7468/jksmeb.2015.22.1.13', 'mag': '2098447220'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.7468/jksmeb.2015.22.1.13', 'pdf_url': 'http://koreascience.or.kr:80/article/JAKO201509057413582.pdf', 'source': {'id': 'https://openalex.org/S4210175483', 'display_name': 'The Pure and Applied Mathematics', 'issn_l': '1226-0657', 'issn': ['1226-0657', '2287-6081'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'gold', 'oa_url': 'http://koreascience.or.kr:80/article/JAKO201509057413582.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5052894624', 'display_name': 'Jae-Hyouk Lee', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Jae-Hyouk Lee', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5052894624'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 66}, 'biblio': {'volume': '22', 'issue': '1', 'first_page': '13', 'last_page': '23'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9996, '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/T11680', 'display_name': 'Advanced Algebra and Geometry', 'score': 0.9996, '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/T10229', 'display_name': 'Geometric Analysis and Curvature Flows', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12351', 'display_name': 'Geometry and complex manifolds', 'score': 0.9994, '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/symplectic-vector-space', 'display_name': 'Symplectic vector space', 'score': 0.849347}, {'id': 'https://openalex.org/keywords/symplectic-matrix', 'display_name': 'Symplectic matrix', 'score': 0.81062686}, {'id': 'https://openalex.org/keywords/symplectomorphism', 'display_name': 'Symplectomorphism', 'score': 0.63761824}, {'id': 'https://openalex.org/keywords/symplectic-group', 'display_name': 'Symplectic group', 'score': 0.5560335}], 'concepts': [{'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.92165554}, {'id': 'https://openalex.org/C125849494', 'wikidata': 'https://www.wikidata.org/wiki/Q766774', 'display_name': 'Symplectic vector space', 'level': 5, 'score': 0.849347}, {'id': 'https://openalex.org/C12362212', 'wikidata': 'https://www.wikidata.org/wiki/Q728435', 'display_name': 'Linear subspace', 'level': 2, 'score': 0.8280636}, {'id': 'https://openalex.org/C185535465', 'wikidata': 'https://www.wikidata.org/wiki/Q2705070', 'display_name': 'Symplectic matrix', 'level': 5, 'score': 0.81062686}, {'id': 'https://openalex.org/C104586451', 'wikidata': 'https://www.wikidata.org/wiki/Q771008', 'display_name': 'Symplectic representation', 'level': 4, 'score': 0.7942586}, {'id': 'https://openalex.org/C40265840', 'wikidata': 'https://www.wikidata.org/wiki/Q6897118', 'display_name': 'Moment map', 'level': 3, 'score': 0.637689}, {'id': 'https://openalex.org/C135661100', 'wikidata': 'https://www.wikidata.org/wiki/Q1049064', 'display_name': 'Symplectomorphism', 'level': 3, 'score': 0.63761824}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5921685}, {'id': 'https://openalex.org/C175322374', 'wikidata': 'https://www.wikidata.org/wiki/Q936434', 'display_name': 'Symplectic group', 'level': 3, 'score': 0.5560335}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.51171803}, {'id': 'https://openalex.org/C130190758', 'wikidata': 'https://www.wikidata.org/wiki/Q1064500', 'display_name': 'Symplectic manifold', 'level': 3, 'score': 0.49672157}, {'id': 'https://openalex.org/C124681953', 'wikidata': 'https://www.wikidata.org/wiki/Q339062', 'display_name': 'Decomposition', 'level': 2, 'score': 0.4567576}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.32830226}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.10673711}, {'id': 'https://openalex.org/C178790620', 'wikidata': 'https://www.wikidata.org/wiki/Q11351', 'display_name': 'Organic chemistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.7468/jksmeb.2015.22.1.13', 'pdf_url': 'http://koreascience.or.kr:80/article/JAKO201509057413582.pdf', 'source': {'id': 'https://openalex.org/S4210175483', 'display_name': 'The Pure and Applied Mathematics', 'issn_l': '1226-0657', 'issn': ['1226-0657', '2287-6081'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.7468/jksmeb.2015.22.1.13', 'pdf_url': 'http://koreascience.or.kr:80/article/JAKO201509057413582.pdf', 'source': {'id': 'https://openalex.org/S4210175483', 'display_name': 'The Pure and Applied Mathematics', 'issn_l': '1226-0657', 'issn': ['1226-0657', '2287-6081'], 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 2, 'referenced_works': ['https://openalex.org/W2076925422', 'https://openalex.org/W3187477437'], 'related_works': ['https://openalex.org/W4298314373', 'https://openalex.org/W4298002997', 'https://openalex.org/W4283072418', 'https://openalex.org/W4230855783', 'https://openalex.org/W2359381322', 'https://openalex.org/W2098447220', 'https://openalex.org/W2076925422', 'https://openalex.org/W1972672132', 'https://openalex.org/W17130399', 'https://openalex.org/W101992021'], 'abstract_inverted_index': {'We': [0], 'introduce': [1], 'a': [2, 5, 17], 'decomposition': [3], 'on': [4], 'symplectic': [6, 10, 31], 'subspace': [7], 'determined': [8], 'by': [9], 'structure': [11], 'and': [12], 'study': [13], 'its': [14], 'properties.': [15], 'As': [16], 'consequence,': [18], 'we': [19], 'give': [20], 'an': [21], 'elementary': [22], 'proof': [23], 'of': [24, 27, 30], 'the': [25, 28, 34], 'deformation': [26], 'Grassmannians': [29], 'subspaces': [32], 'to': [33], 'complex': [35], 'Grassmannians.': [36]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2098447220', 'counts_by_year': [], 'updated_date': '2024-12-13T23:01:19.453615', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
