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Results tagged with rt.representation-theory
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user 15797
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
4
votes
0
answers
407
views
About ℓ-adic and perverse stuff and ℓ-adic cohomology with compact support
Maybe this question is trivial.
We know from this paper at Inv. Math 1976 (DOI link), T. A. Springer constructed representation of the Weyl group $W$
on the cohomology of the Springer fibre. Also, Del …
- 93
4
votes
2
answers
1k
views
about dual Verma module in BGG category O
for the Verma module $M(\lambda)$, it has a dual $M(\lambda)^{\vee}$,
also as $n^{-}$ module, $M(\lambda)$ isomorphic to $U(n^{-})$
so it is very nature to ask for the dual Verma module $M(\lambda)^{\ …
- 93
1
vote
0
answers
345
views
Do all finite $W$-superalgebras have 1-dimensional representations?
Premet proved the famous KW-conjecture in modular Lie algebra.
After, Premet introduced the finite $W$-algebra $U(g, e)$.
Also, Premet proposed the conjecture every algebra $U(g, e)$ admits a $1$-dim …
- 93