F. Marko

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20092020

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math.RT2020

A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups

Frantisek Marko

For a general linear supergroup $G = G L (m ∣ n)$ , we consider a natural isomorphism $ϕ : G \to U^{-} \times G_{e v} \times U^{+}$ , where $G_{e v}$ is the even subsupergroup of $G$ , and $U^{-}$ , $…

math.RT2018

Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements

Frantisek Marko, Alexandr N. Zubkov

In this paper we investigate the image of the center $Z$ of the distribution algebra $D i s t (G L (m ∣ n))$ of the general linear supergroup over a ground field of positive characteristic…

math.RT2015

Blocks for general linear supergroup $G L (m ∣ n)$

Frantisek Marko, Alexandr N. Zubkov

We prove the linkage principle and describe blocks of the general linear supergroups $G L (m ∣ n)$ over the ground field $K$ of characteristic $p \neq = 2$ .

math.RT2009

Generators of supersymmetric polynomials in positive characteristic

A. N. Grishkov, F. Marko, A. N. Zubkov

Kantor and Trishin described the algebra of polynomial invariants of the adjoint representation of the Lie supergalgebra $g l (m ∣ n)$ and a related algebra $A_{s}$ of what they called p…

A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups

Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements

Blocks for general linear supergroup GL(m∣n)

Generators of supersymmetric polynomials in positive characteristic

Blocks for general linear supergroup $G L (m ∣ n)$