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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
6
votes
3
answers
438
views
Closed orbits of complete flags in $\mathbb{C}^n$
Let $B$ be a symmetric (or antisymmetric) non-degenerate bilinear form on $\mathbb{C}^n$ and let $G$ be the associated group of automorphisms $O(n)$ (resp. $Sp(n)$). What can we say about the Zariski- …
1
vote
1
answer
682
views
Beilinson-Bernstein localization: $\mathfrak{g}$ action on $G$-equivariant sheaf
I have a few elementary questions related to Beilinson-Bernstein localization.
Let $G$ be a semisimple algebraic group over $\mathbb{C}$ with Lie algebra $\mathfrak{g}$. Consider the setup of Beilins …