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Results tagged with rt.representation-theory
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user 36090
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
3
votes
Accepted
Towards a quantum version of Schur's orthogonality relations
The formula should be
$$\begin{align}
Y^{-1}(R\otimes 1)X&=Y^{-1}(I\otimes h)(Y^{-1}(Q\otimes 1)X)X
\\&=(I\otimes h\otimes I)\left(Y_{[13]}^{-1}Y_{[12]}^{-1}(Q\otimes 1\otimes 1)X_{[12]}X_{[13]}\righ …
- 1,482
1
vote
Accepted
A little bit of Intuition for Corepresentations from Representations
Sorry about the left-right confusion (I think I am left-right-illiterate...).
If we have a left action $(g,x)\mapsto g.x$, but write it as a map $b:M\times G\to M$, $b(x,g)=g.x$, is that a left or a …
- 1,482
7
votes
Accepted
The Irreducible Corepresentations of the eight-dimensional Kac-Paljutkin Quantum Group
The Kac-Paljutkin Quantum Group $A$ is self-dual, i.e. the dual space $A^*$ (which is of course again finite quantum group = finite-dimesional $C^*$-Hopf algebra, with the multiplication being the dua …
- 1,482