A. Grishkov

collaborators

2 papers

math.RA2008

Lie properties of crossed products

Adalbert Bovdi, Alexander Grishkov

Let $F_{σ}^{λ} [G]$ be a crossed product of a group $G$ and the field $F$ . We study the Lie properties of $F_{σ}^{λ} [G]$ in order to obtain a characterization of those crossed products wh…

math.QA2000

Verma-type Modules for Quantum Affine Lie Algebras

Vyacheslav M. Futorny, Duncan J. Melville, Alexander N. Grishkov

Let g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda…