| Title | Gelfand-Tsetlin modules for gl(m|n) |
| Author | |
| Corresponding Author | Futorny，Vyacheslav |
| Publication Years | 2021
|
| DOI | |
| Source Title | |
| ISSN | 1073-2780
|
| EISSN | 1945-001X
|
| Volume | 28Issue:5Pages:1379-1418 |
| Abstract | We address the problem of classifying irreducible Gelfand-Tsetlin modules for gl(m|n) and show that it reduces to the classification of Gelfand-Tsetlin modules for the even part. We also give an explicit tableaux construction and the irreducibility criterion for the class of quasi typical and quasi covariant Gelfand-Tsetlin modules which includes all essentially typical and covariant tensor finite dimensional modules. In the quasi typical case new irreducible representations are infinite dimensional gl(m|n)-modules which are isomorphic to the parabolically induced (Kac) modules. |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Corresponding
|
| Funding Project | National Sleep Foundation[1701532];Conselho Nacional de Desenvolvimento Científico e Tecnológico[200783/2018-1];
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics
|
| WOS Accession No | WOS:000883282500005
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Scopus EID | 2-s2.0-85137408066
|
| Data Source | Scopus
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/401697 |
| Department | SUSTech International Center for Mathematics 理学院 |
| Affiliation | 1.Instituto de Matemática e Estatística,Universidade de São Paulo,São Paulo,05508090,Brazil 2.International Center for Mathematics,SUSTech,Shenzhen,518055,China 3.Department of Mathematics,University of California,970 Evans Hall,Berkeley,94720-3840,United States 4.School of Mathematics and Statistics,Central China Normal University,Wuhan,430079,China |
| First Author Affilication | SUSTech International Center for Mathematics |
| Corresponding Author Affilication | SUSTech International Center for Mathematics |
| Recommended Citation GB/T 7714 |
Futorny，Vyacheslav,Serganova，Vera,Zhang，Jian. Gelfand-Tsetlin modules for gl(m|n)[J]. MATHEMATICAL RESEARCH LETTERS,2021,28(5):1379-1418.
|
| APA |
Futorny，Vyacheslav,Serganova，Vera,&Zhang，Jian.(2021).Gelfand-Tsetlin modules for gl(m|n).MATHEMATICAL RESEARCH LETTERS,28(5),1379-1418.
|
| MLA |
Futorny，Vyacheslav,et al."Gelfand-Tsetlin modules for gl(m|n)".MATHEMATICAL RESEARCH LETTERS 28.5(2021):1379-1418.
|
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