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Results tagged with rt.representation-theory
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user 1729
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
Accepted
Algorithm for Brauer lifting via Brauer tree?
If I understand correctly, you have a tree with edges labelled by e1,...,en and vertices labelled
by v0,...,vn,...v(n+m-1), where the last m >= 1 of these label the same (namely the exceptional) verte …
- 1,388
6
votes
Parabolic induction GL(n,Zp)
If $P$ is the Borel and $\pi$ is admissible, then $\pi$ is 1-dimensional and let $\Pi$ denote the induction. Let $K(r)$ be the principal congruence subgroup
of elements in $GL_n(\mathbb Z_p)$ that are …
- 1,388
7
votes
Tensor product of simple representations
If the characteristic is $p$ then, by a theorem of Serre, it's true provided $dim(V) + dim(W) < p+2$. To be safe, let me assume that the base field is algebraically closed. (One should be safe over a …
- 1,388
5
votes
Accepted
Induction from split and non-split tori for GL_2 over a finite field
I don't have much time, but maybe the following can lead you to a solution. I'm sloppy too, writing $G$ both for the algebraic group (over some finite field $k$) and for the set of points $G(k)$.
Thi …
- 1,388