F. Marko

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20092020

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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.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.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…