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Results tagged with rt.representation-theory
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user 281074
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
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 …
- 261
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 …
- 261