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Results tagged with qa.quantum-algebra
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user 6355
Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
2
votes
Accepted
Pseudo-dimensions of quantum Lie groups
One explanation: for small values of n one gets integer quantum dimensions because the fusion category associated with small n is either degenerate or at least has very few simple objects. Getting q …
- 1,639
3
votes
Accepted
Knot polynomials: Skein>Matrix>Group?
The Kauffman 2-variable knot polynomial probably can't be obtained from a quantum group if by this you mean the usual q-deformed universal enveloping algebras. If your two variables are $(r,q)$ and $ …
- 1,639
5
votes
Accepted
How does one relate the monodromy of the KZ equations with the WRT representation of the bra...
What I will say is just for quantum $SL(2)$ with $V$ being the 2-dimensional representation (or the analogous object in the representation category). Let us denote by $H$ the quantum group. For $q$ …
- 1,639
2
votes
Accepted
Existence of twisted metaplectic categories
In https://arxiv.org/pdf/2005.05544.pdf we describe a general procedure that accomplishes (1) and (2) which we call zesting.
In this case, let $\mathcal{C}$ be an odd metaplectic category. In the nota …
- 1,639
5
votes
Why is there such a close resemblance between the unitary representation theory of the Viras...
I think it is not a coincidence, although the only relationship I can think of is a bit distant. Roughly, it goes: From positive energy representations of affine Kac-Moody algebras one gets certain v …
- 1,639
2
votes
An inner product that makes the R-matrix unitary
Actually if you take the usual R-matrix for type $A$ it is only unitary for the choice $q=1$! There seems to be some conflict between "local" braidings and unitarity (as Z. Wang and I will explain in …
- 1,639