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Results tagged with rt.representation-theory
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user 5010
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
10
votes
HOMFLY and homology; also superalgebras
Lots of good answers above, but the one that seems to be missing is what belongs in the third column for unspecialized HOMFLY. (As Geordie Williamson points out, Khovanov and Rozansky wrote two relat …
- 10.1k
5
votes
Accepted
For a representation V of a finite group G, when is Hom(W, W⊗V) trivial for all irreps W?
One necessary condition is that the center of $G$ needs to act trivially in $V$ for $\mathrm{Hom}(W, W \otimes V)$ to ever be non-trivial. The character of the center justs multiplies in a tensor pro …
- 10.1k
13
votes
2
answers
1k
views
Intrinsic characterization of Soergel bimodules?
A Soergel bimodule (for $S_n$) is a bimodule over $R = \mathbb{Q}[x_1,\dots,x_n]$ which appears as a summand/grading shift of tensor products of the basic bimodules
$$B_{i,i+1} = R \otimes_{i,i+1} R$$ …
- 10.1k