Results 91 to 100 of about 1,593,546 (194)

The Cartan matrix of a group algebra modulo any power of its radical

open access: yes, 1983
We prove that the Cartan matrix of a group algebra F [ G ] F[G] modulo any power of its radical J J is dual symmetric, provided F F is a splitting field of
Peter Landrock
core   +1 more source

Cartan Matrix, Decomposition Numbers and Vertices of Simple Modules

open access: yes, 2002
设B是有限群G的p-块代数,考虑以B的Brauer不可约特征标为基底生成的自由Abel群,以及由B的Cartan矩阵决定的这个群的商群.通过研究这个商群中元素的阶数,我们得到了Cartan矩阵和Cartan数与单模的顶点及亏群的一些新关系式.对于常不可约特征标的高度, 我们得到了它与分解数以及Cartan不变量的一些新关系式.Let B be a p-block of a finite group G.
曾吉文
core  

Homogeneous Cartan geometries [PDF]

open access: yes, 2007
summary:We describe invariant principal and Cartan connections on homogeneous principal bundles and show how to calculate the curvature and the holonomy; in the case of an invariant Cartan connection we give a formula for the infinitesimal automorphisms.
Hammerl, Matthias
core  

The Cartan matrix of a certain class of finite solvable groups

open access: yesOsaka Journal of Mathematics, 2000
Let \(p\) and \(q\) be different primes, and let \(G\) be the group of affine semilinear transformations on the finite field with \(p^{pq}\) elements. The author computes the Cartan matrix of \(G\) in characteristic \(p\). He then uses this result in order to verify special cases of his conjecture that \(k(B)\), the number of irreducible characters in ...
openaire   +4 more sources

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