A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• ISSN: 1726-3255
• Main Authors: Choi, C., Kim, S., Seo, H.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188715
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A filtration on the ring of Laurent polynomials and representations of the general linear Lie algebra / C. Choi, S. Kim, H. Seo // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 9–32. — Бібліогр.: 6 назв. — англ.

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, generalizin...