Automorphic equivalence of the representations of Lie algebras

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• ISSN: 1726-3255
• Main Authors: Shestakov, I., Tsurkov, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152257
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Automorphic equivalence of the representations of Lie algebras / I. Shestakov, A. Tsurkov // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 96–126. — Бібліогр.: 5 назв. — англ.

In this paper we research the algebraic geometry of the representations of Lie algebras over fixed field k. We assume that this field is infinite and char (k) = 0. We consider the representations of Lie algebras as 2-sorted universal algebras. The representations of groups were considered by similar...