On the characters of the unit group of DN-algebras.

DOI10.1016/J.JALGEBRA.2006.02.036zbMath1150.16025OpenAlexW2081943374MaRDI QIDQ855736

Zoltán Halasi

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.02.036

zbMATH Keywords

unit groupscomplex irreducible charactersM-groupsDN-algebrasfinite-dimensional algebras over finite fieldslinear characters of subgroups

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Irreducible characters of groups associated with finite nilpotent algebras with involution. ⋮ Smooth representations of unit groups of split basic algebras over non-Archimedean local fields ⋮ Unnamed Item

Cites Work

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• On the characters of the group of upper-triangular matrices
• On the characters and commutators of finite algebra groups.
• Characters of groups associated with finite algebras

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