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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

1 vote
0 answers
123 views

Irreducible projective representations of finite abelian groups

I want to know if there is a description of all irreducible complex projective representations of an arbitrary finite abelian group. I have seen this for particular cases such as those given here and …
Infinity_hunter's user avatar
5 votes
1 answer
368 views

Simple component that is not a two-sided ideal

Suppose $R$ is a semisimple ring and if $L$ is a minimal left ideal. Let $B$ be the direct sum of all minimal left ideals isomorphic to $L$ ($B$ is called a simple component corresponding to $L$). It …
Infinity_hunter's user avatar
4 votes
1 answer
266 views

Wedderburn decomposition of special linear groups

$\DeclareMathOperator\SL{SL}\newcommand\card[1]{\lvert#1\rvert}$I want to study about Wedderburn decomposition of group algebra $k\SL(n,\mathbb{F}_p)$ where $k$ is either an algebraically closed field …
Infinity_hunter's user avatar