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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 6, Pages 11–30 (Mi ivm9885)

This article is cited in 1 paper

Involutions in algebras of upper-triangular matrices

I. A. Kulguskin, D. T. Tapkin

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: In this paper we classify up to equivalency involutions of first kind in algebras of upper-triangular matrices over commutative rings. In case of a field $F$ of characteristics $2$ we obtain necessary and sufficient conditions for finiteness of the set of invlolutions equivalency classes of $T_{n}(F)$.

Keywords: involution, equivalency of invloutions, algebra of upper-triangular matrices.

UDC: 512.55

Received: 20.10.2022
Revised: 16.11.2022
Accepted: 21.12.2022

DOI: 10.26907/0021-3446-2023-6-11-30



© Steklov Math. Inst. of RAS, 2024