3 papers
math.RT2007★ 2 cited
Generalization of modular lowering operators for GL_n
Vladimir Shchigolev
We consider the generalization of Kleshchev's lowering operators obtained by raising all the Carter-Lusztig operators in their definition to a power less than the characteristic of…
math.RT2007
On some extensions of p-restricted completely splittable GL(n)-modules
Vladimir Shchigolev
In this paper, we calculate the space , where GL(n) is the general linear group of degree over an algebraically closed field of positive character…
math.RT2003
Finite basis property for some classes of irreducible representations of the symmetric groups
Vladimir Shchigolev
In this paper we study the possibility to define irreducible representations of the symmetric groups with the help of finitely many relations. The existence of finite bases is esta…