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Results tagged with rt.representation-theory
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user 8974
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
4
votes
3
answers
3k
views
Can every parabolic subgroup be conjugated to its opposite by an element of the Weyl group?
Given a minimal parabloic subgroup we know that conjugation by the longest element in the weyl group takes it to the opposite parabolic.
Can we do the same thing if we choose a standard parabolic su …
- 185
7
votes
4
answers
2k
views
Bernstein's presentation for the Hecke algebra
Any one know of any good references for reading about Bernstein's presentation of the Iwahori Hecke algebra? I need some notes which has an example or two. It would really help.
- 185
3
votes
0
answers
171
views
Conjugacy in metaplectic groups
Let $F$ be a non-Archimedean local field (characteristic 0) and $G=GL(2,F)$. Let $\tilde{G}$ be "the" metaplectic double cover of $G$ (defined using an explicit cocycle as in Gelbart's book (Weil's re …
- 185