Demazure conjecture (original) (raw)
In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by Demazure . The conjecture implies that many of the results of his paper can be extended from complex algebraic groups to algebraic groups over fields of other characteristics or over the integers. V. Lakshmibai, C. Musili, and C. S. Seshadri showed that Demazure's conjecture (for classical groups) follows from their work on standard monomial theory, and Peter Littelmann extended this to all reductive algebraic groups.
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| dbo:abstract | In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by Demazure . The conjecture implies that many of the results of his paper can be extended from complex algebraic groups to algebraic groups over fields of other characteristics or over the integers. V. Lakshmibai, C. Musili, and C. S. Seshadri showed that Demazure's conjecture (for classical groups) follows from their work on standard monomial theory, and Peter Littelmann extended this to all reductive algebraic groups. (en) Inom matematiken är Demazures förmodan en förmodan om av över heltalen gjorda av . Förmodan implicerar att många resultat i hans artikel kan utvidgas från komplexa algebraiska grupper till algebraiska grupper över kroppar av annan karakteristik, eller över heltalen. V. Lakshmibai, C. Musili, and C. S. Seshadri bevisade att Demazures förmodan (för ) följer ur deras arbete om , och utvidgade detta till alla reduktiva algebraiska grupper. (sv) |
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| dbo:wikiPageWikiLink | dbr:Algebraic_group dbc:Conjectures dbr:Mathematics dbr:Standard_monomial_theory dbr:Classical_group dbr:Field_(mathematics) dbc:Representation_theory dbr:Group_representation dbr:Peter_Littelmann |
| dbp:authorlink | Michel Demazure (en) |
| dbp:doi | 10.109000 (xsd:double) |
| dbp:doiAccess | free (en) |
| dbp:first | C. S. (en) C. (en) V. (en) |
| dbp:issn | 2 (xsd:integer) |
| dbp:issue | 2 (xsd:integer) |
| dbp:journal | Bulletin of the American Mathematical Society (en) |
| dbp:last | Lakshmibai (en) Demazure (en) Musili (en) Seshadri (en) |
| dbp:loc | p. 83 (en) |
| dbp:mr | 520081 (xsd:integer) |
| dbp:pages | 432 (xsd:integer) |
| dbp:series | New Series (en) |
| dbp:title | Geometry of G/P (en) |
| dbp:volume | 1 (xsd:integer) |
| dbp:wikiPageUsesTemplate | dbt:Cite_journal dbt:Harvs |
| dbp:year | 1974 (xsd:integer) 1979 (xsd:integer) |
| dct:subject | dbc:Conjectures dbc:Representation_theory |
| gold:hypernym | dbr:Conjecture |
| rdfs:comment | In mathematics, the Demazure conjecture is a conjecture about representations of algebraic groups over the integers made by Demazure . The conjecture implies that many of the results of his paper can be extended from complex algebraic groups to algebraic groups over fields of other characteristics or over the integers. V. Lakshmibai, C. Musili, and C. S. Seshadri showed that Demazure's conjecture (for classical groups) follows from their work on standard monomial theory, and Peter Littelmann extended this to all reductive algebraic groups. (en) Inom matematiken är Demazures förmodan en förmodan om av över heltalen gjorda av . Förmodan implicerar att många resultat i hans artikel kan utvidgas från komplexa algebraiska grupper till algebraiska grupper över kroppar av annan karakteristik, eller över heltalen. V. Lakshmibai, C. Musili, and C. S. Seshadri bevisade att Demazures förmodan (för ) följer ur deras arbete om , och utvidgade detta till alla reduktiva algebraiska grupper. (sv) |
| rdfs:label | Demazure conjecture (en) Demazures förmodan (sv) |
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