F. Marko

activity

20092020

collaborators

4 papers

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.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.RA2011

Pseudocompact algebras and highest weight categories

Frantisek Marko, Alexandr N. Zubkov

We develop a new approach to highest weight categories $C$ with good (and cogood) posets of weights via pseudocompact algebras by introducing ascending (and descending) quasi…

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

Blocks for general linear supergroup GL(m∣n)

Pseudocompact algebras and highest weight categories

Generators of supersymmetric polynomials in positive characteristic

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