Publication Information

{'id': 'https://openalex.org/W2735290644', 'doi': None, 'title': 'Crystals and Schur $P$-positive expansions', 'display_name': 'Crystals and Schur $P$-positive expansions', 'publication_year': 2017, 'publication_date': '2017-07-09', 'ids': {'openalex': 'https://openalex.org/W2735290644', 'mag': '2735290644'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1707.02513.pdf', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_indexed_in_scopus': 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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'type': 'preprint', 'type_crossref': 'posted-content', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5034341726', 'display_name': 'Seung-Il Choi', 'orcid': 'https://orcid.org/0000-0003-1734-6748'}, 'institutions': [{'id': 'https://openalex.org/I139264467', 'display_name': 'Seoul National University', 'ror': 'https://ror.org/04h9pn542', 'country_code': 'KR', 'type': 'funder', 'lineage': ['https://openalex.org/I139264467']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Seung-Il Choi', 'raw_affiliation_strings': ['Seoul National Univ.#TAB#'], 'affiliations': [{'raw_affiliation_string': 'Seoul National Univ.#TAB#', 'institution_ids': ['https://openalex.org/I139264467']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5112180094', 'display_name': 'Jae-Hoon Kwon', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I139264467', 'display_name': 'Seoul National University', 'ror': 'https://ror.org/04h9pn542', 'country_code': 'KR', 'type': 'funder', 'lineage': ['https://openalex.org/I139264467']}], 'countries': ['KR'], 'is_corresponding': False, 'raw_author_name': 'Jae-Hoon Kwon', 'raw_affiliation_strings': ['Seoul National Univ.#TAB#'], 'affiliations': [{'raw_affiliation_string': 'Seoul National Univ.#TAB#', 'institution_ids': ['https://openalex.org/I139264467']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': None, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.627373, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 63, 'max': 71}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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/T10948', 'display_name': 'Advanced Combinatorial Mathematics', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2607', 'display_name': 'Discrete Mathematics and Combinatorics'}, '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': 0.9995, '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/T11716', 'display_name': 'Random Matrices and Applications', 'score': 0.9956, 'subfield': {'id': 'https://openalex.org/subfields/2613', 'display_name': 'Statistics and Probability'}, '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/schurs-lemma', 'display_name': "Schur's lemma", 'score': 0.83454454}, {'id': 'https://openalex.org/keywords/schur-polynomial', 'display_name': 'Schur polynomial', 'score': 0.80825394}, {'id': 'https://openalex.org/keywords/schur-product-theorem', 'display_name': 'Schur product theorem', 'score': 0.74740356}, {'id': 'https://openalex.org/keywords/schurs-theorem', 'display_name': "Schur's theorem", 'score': 0.7375259}, {'id': 'https://openalex.org/keywords/schur-algebra', 'display_name': 'Schur algebra', 'score': 0.67938185}], 'concepts': [{'id': 'https://openalex.org/C158385407', 'wikidata': 'https://www.wikidata.org/wiki/Q1816952', 'display_name': "Schur's lemma", 'level': 5, 'score': 0.83454454}, {'id': 'https://openalex.org/C146922319', 'wikidata': 'https://www.wikidata.org/wiki/Q4298935', 'display_name': 'Schur polynomial', 'level': 5, 'score': 0.80825394}, {'id': 'https://openalex.org/C102591085', 'wikidata': 'https://www.wikidata.org/wiki/Q17103152', 'display_name': 'Schur product theorem', 'level': 5, 'score': 0.74740356}, {'id': 'https://openalex.org/C29701004', 'wikidata': 'https://www.wikidata.org/wiki/Q1786292', 'display_name': "Schur's theorem", 'level': 5, 'score': 0.7375259}, {'id': 'https://openalex.org/C43562168', 'wikidata': 'https://www.wikidata.org/wiki/Q7433031', 'display_name': 'Schur algebra', 'level': 5, 'score': 0.67938185}, {'id': 'https://openalex.org/C2731191', 'wikidata': 'https://www.wikidata.org/wiki/Q1778169', 'display_name': 'Schur complement', 'level': 3, 'score': 0.63476974}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.59776723}, {'id': 'https://openalex.org/C99383703', 'wikidata': 'https://www.wikidata.org/wiki/Q1064218', 'display_name': 'Schur decomposition', 'level': 4, 'score': 0.5816744}, {'id': 'https://openalex.org/C43711488', 'wikidata': 'https://www.wikidata.org/wiki/Q7534783', 'display_name': 'Skew', 'level': 2, 'score': 0.5403912}, {'id': 'https://openalex.org/C108710211', 'wikidata': 'https://www.wikidata.org/wiki/Q11538', 'display_name': 'Mathematical proof', 'level': 2, 'score': 0.50406873}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.40760443}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.3972002}, {'id': 'https://openalex.org/C10628310', 'wikidata': 'https://www.wikidata.org/wiki/Q619458', 'display_name': 'Orthogonal polynomials', 'level': 2, 'score': 0.32884845}, {'id': 'https://openalex.org/C171686973', 'wikidata': 'https://www.wikidata.org/wiki/Q17098676', 'display_name': 'Macdonald polynomials', 'level': 4, 'score': 0.32037574}, {'id': 'https://openalex.org/C52537462', 'wikidata': 'https://www.wikidata.org/wiki/Q5282055', 'display_name': 'Discrete orthogonal polynomials', 'level': 3, 'score': 0.21388489}, {'id': 'https://openalex.org/C78540521', 'wikidata': 'https://www.wikidata.org/wiki/Q1498246', 'display_name': 'Gegenbauer polynomials', 'level': 4, 'score': 0.19247979}, {'id': 'https://openalex.org/C21736991', 'wikidata': 'https://www.wikidata.org/wiki/Q17006917', 'display_name': 'Classical orthogonal polynomials', 'level': 3, 'score': 0.15826502}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.15452445}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.063038886}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.058086276}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C1276947', 'wikidata': 'https://www.wikidata.org/wiki/Q333', 'display_name': 'Astronomy', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://arxiv.org/pdf/1707.02513.pdf', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_indexed_in_scopus': 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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 5, 'referenced_works': ['https://openalex.org/W2017354162', 'https://openalex.org/W2046091890', 'https://openalex.org/W2079613279', 'https://openalex.org/W2156535181', 'https://openalex.org/W2950066151'], 'related_works': ['https://openalex.org/W3206754766', 'https://openalex.org/W2963937539', 'https://openalex.org/W2962953322', 'https://openalex.org/W2952320252', 'https://openalex.org/W2950950867', 'https://openalex.org/W2950553984', 'https://openalex.org/W2619991369', 'https://openalex.org/W2589812365', 'https://openalex.org/W2129157321', 'https://openalex.org/W2094938771', 'https://openalex.org/W2093170496', 'https://openalex.org/W2073530751', 'https://openalex.org/W2017803356', 'https://openalex.org/W2003520526', 'https://openalex.org/W1998096348', 'https://openalex.org/W1987649203', 'https://openalex.org/W1981518896', 'https://openalex.org/W1973203145', 'https://openalex.org/W1971196865', 'https://openalex.org/W1729152912'], 'abstract_inverted_index': {'We': [0, 17], 'give': [1, 19], 'a': [2, 27, 41], 'new': [3], 'characterization': [4], 'of': [5, 15, 22, 26, 40], 'Littlewood-Richardson-Stembridge': [6], 'tableaux': [7], 'for': [8], 'Schur': [9, 24, 29, 38, 42], '$P$-functions': [10], 'by': [11], 'using': [12, 47], 'the': [13, 23, 37, 48], 'theory': [14], '$\\mf{q}(n)$-crystals.': [16], 'also': [18], 'alternate': [20], 'proofs': [21], '$P$-expansion': [25], 'skew': [28], 'function': [30], 'due': [31, 44], 'to': [32, 45], 'Ardila': [33], 'and': [34, 36], 'Serrano,': [35], 'expansion': [39], '$P$-function': [43], 'Stembridge': [46], 'associated': [49], 'crystal': [50], 'structures.': [51]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2735290644', 'counts_by_year': [{'year': 2018, 'cited_by_count': 1}], 'updated_date': '2025-01-24T04:22:01.923482', 'created_date': '2017-07-21'}