Results 121 to 130 of about 942 (152)

Turning weight multiplicities into Brauer characters [PDF]

Journal of Algebra, 2020
We describe two methods for computing $p$-modular Brauer character tables for groups of Lie type $G(p^f)$ in defining characteristic $p$, assuming that the ordinary character table of $G(p^f)$ is known, and the weight multiplicities of the corresponding algebraic group $G$ are known for $p$-restricted highest weights.
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Determination of Brauer Characters

Canadian Journal of Mathematics, 1974
The purpose of this note is to show that the values of an irreducible (Brauer) character are the characteristic values of a matrix with non-negative rational integers. The construction of these integral matrices is done by a description of a representation of the Grothendieck ring of the category of modules over the group algebra.
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Real Brauer characters

Journal of Pure and Applied Algebra, 2021
Let \(G\) be a finite group and \(p\) a prime dividing the order of \(G\). An element \(x \in G\) is called real if \(x\) is \(G\)-conjugate to its inverse \(x^{-1}\) and an element \(g \in G\) is called \(p\)-regular if \(p\) does not divide the order of \(g\). By Brauer's lemma on character tables, Theorem 6.32 of [\textit{I. M.
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Zeros of Brauer characters

Acta Mathematica Scientia, 2012
Doctor Foundation of Henan University of Technology [2010BS048]; Tian Yuan Foundations [11126273, 11126271]
Wang Huiqun, Chen Xiaoyou, Zeng Jiwen
exaly   +2 more sources

Brauer Characters and Grothendieck Rings

Canadian Journal of Mathematics, 1975
Let G be a group of finite order g, A a splitting field of G of characteristic p (which may be 0) and R = AG the group algebra of G over A. In [2], the author studied some of the properties of the Grothendieck ring K(R) of the category of all finitely generated R-modules, and derived a number of consequences.
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Brauer Characters of Finite Monoids

Algebras and Representation Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Brauer Character

2013
In this chapter we construct the Brauer character of a modular representation of G, which is a class function on the p-regular elements in G, and we develop its properties. In particular, we describe the decomposition homomorphism in terms of characters.
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A NOTE ON -PARTS OF BRAUER CHARACTER DEGREES

Bulletin of the Australian Mathematical Society, 2020
Let $G$ be a finite group and $p$ be an odd prime. We show that if $\mathbf{O}_{p}(G)=1$ and $p^{2}$ does not divide every irreducible $p$-Brauer character degree of $G$, then $|G|_{p}$ is bounded by $p^{3}$ when $p\geqslant 5$ or $p=3$ and $\mathsf{A}_{7}$ is not involved in $G$, and by $3^{4}$ if $p=3$ and $\mathsf{A}_{7}$ is involved in $G$.
JINBAO LI, YONG YANG
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Brauer Characters Relative to a Normal Subgroup

Proceedings of the London Mathematical Society, 2000
The paper under review concerns comparing representations of a finite group in characteristic \(p\) with those in characteristic zero. Let \(N\) be a normal \(p\)-subgroup of \(G\) and let \(G^0=\{x\in G\mid x_p\in N\}\). Let \(\text{cf}(G^-)\) denote the space of complex class functions of \(G\) defined on \(G^0\). If \(\chi\) is a complex irreducible
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Quasi-projective Brauer characters

Journal of Algebra, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yanjun, Willems, Wolfgang
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