Demazure Modules, Chari–Venkatesh Modules and Fusion Products
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Demazure Modules, Chari–Venkatesh Modules and Fusion Products
|
|
| Creator |
Ravinder, B.
|
|
| Description |
Let g be a finite-dimensional complex simple Lie algebra with highest root θ. Given two non-negative integers m, n, we prove that the fusion product of m copies of the level one Demazure module D(1,θ) with n copies of the adjoint representation ev₀V(θ) is independent of the parameters and we give explicit defining relations. As a consequence, for g simply laced, we show that the fusion product of a special family of Chari-Venkatesh modules is again a Chari-Venkatesh module. We also get a description of the truncated Weyl module associated to a multiple of θ.
|
|
| Date |
2019-02-09T10:56:05Z
2019-02-09T10:56:05Z 2014 |
|
| Type |
Article
|
|
| Identifier |
Demazure Modules, Chari–Venkatesh Modules and Fusion Products / B. Ravinder // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 10 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B67; 17B10 DOI:10.3842/SIGMA.2014.110 http://dspace.nbuv.gov.ua/handle/123456789/146400 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|