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Results tagged with quantum-groups
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user 36090
Questions about algebraic structures known as quantum groups, and their categories of representations. Quasitriangular Hopf algebras and their Drinfel'd twists, triangular Hopf algebras, $C^\star$ quantum groups, h-adic quantum groups, various semisimplified categories at roots of unity which are called "quantum groups", bicrossproduct quantum groups, and quantum groups coming from braided tensor categories.
1
vote
Matrix model or cocycle twist construction for q-deformations of compact simple Lie groups i...
In their new paper "Quantum subgroups of the compact quantum group SU_{-1}(3)", (see http://arxiv.org/abs/1306.6244), Julien Bichon and Robert Yuncken give a positive answer to this question for $SU_{ …
- 1,482
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
4
votes
Accepted
What is the multiplicative unitary for SU_q(2) (or other quantum groups)?
See
E. Christopher Lance, An explicit description of the fundamental unitary for SUq(2), Communications in Mathematical Physics, Volume 164, Issue 1, pp 1-15, 1994, http://link.springer.com/article/1 …
- 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