A filtration on the ring of laurent polynomials and representations of the general linear lie algebraopen access
- Authors
- Choi, C.; Kim, S.; Seo, H.
- Issue Date
- 2021
- Publisher
- Lugansk Taras Shevchenko National University
- Keywords
- Filtration; General linear Lie alge-bra; Laurent polynomial; Weight module
- Citation
- Algebra and Discrete Mathematics, v.32, no.1, pp.9 - 32
- Indexed
- SCOPUS
- Journal Title
- Algebra and Discrete Mathematics
- Volume
- 32
- Number
- 1
- Start Page
- 9
- End Page
- 32
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/141186
- DOI
- 10.12958/adm1304
- ISSN
- 1726-3255
- Abstract
- We first present a filtration on the ring Ln of Laurent polynomials such that the direct sum decomposition of its associated graded ring grLn agrees with the direct sum decomposition of grLn, as a module over the complex general linear Lie algebra gl(n), into its simple submodules. Next, generalizing the simple modules occurring in the associated graded ring grLn, we give some explicit constructions of weight multiplicity-free irreducible representations of gl(n). © Algebra and Discrete Mathematics.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.