F. Marko

activity

20092020

most citedIrreducibility of induced modules for general linear supergroups

5 citations · 5 across the 11 of their papers we have counts for

collaborators

17 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.RA2020

Symmetrizers for Schur superalgebras

Frantisek Marko

For the Schur superalgebra $S = S (m ∣ n, r)$ over a ground field $K$ of characteristic zero, we define symmetrizers $T^{λ} [i : j]$ of the ordered pairs of tableaux $T_{i}, T_{j}$ of the shape $…

math.NT2020

A note on the geometry of figurate numbers

Frantisek Marko

We give a short proof of the formula $n^{p} = \sum_{ℓ = 0}^{p - 1} (- 1)^{ℓ} c_{p, ℓ} F_{n}^{p - ℓ}$ , where $F_{n}^{p - ℓ}$ is the figurate number and $c_{p, ℓ}$ is the number of $(…

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.RA2018

Supersymmetric elements in divided powers algebras

Frantisek Marko

Description of adjoint invariants of general Linear Lie superalgebras $gl (m ∣ n)$ by Kantor and Trishin is given in terms of supersymmetric polynomials. Later, generators…

math.RT2016

Combinatorial aspects of the linkage principle for general linear supergroups

Frantisek Marko

Let $G = G L (m ∣ n)$ be a general linear supergroup and $G_{e v}$ be its even subsupergroup isomorphic to $G L (m) \times G L (n)$ . In this paper we use the explicit description of $G_{e v}$ -p…