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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

12 votes
0 answers
553 views

Two-sided cells, special nilpotent orbits and special representations

Let $\mathfrak{g}$ be a complex semisimple Lie algebra. This question concerns three classical objects of representation theory: the two-sided Kazhdan-Lusztig cells of the Weyl group $W$ of $\mathfrak …
Owen Colman's user avatar
4 votes
0 answers
165 views

Comparing two definitions of Harish-Chandra bimodules

Let $\mathfrak{g}$ be a finite dimensional semisimple Lie algebra over $\mathbb{C}$, and let $\mathscr{U}$ denote its universal enveloping algebra. I am interested in comparing two definitions in the …
Owen Colman's user avatar