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Results tagged with qa.quantum-algebra
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user 1528
Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
2
votes
Accepted
Quantum Frobenius
There is one sense in which I'd say that Lusztig's Frobenius morphism is a generalization of the Frobenius morphism on a variety: In this paper, Kumar and Littelmann show that Lusztig's quantum Froben …
- 3,637
9
votes
Accepted
Quantum Frobenius II
In general, the idea of the Kumar-Littelmann paper is the following: For a semisimple group G, set $V := \displaystyle \bigoplus_{n \geq 0} H^0(\lambda)$, where $\lambda$ is a fixed regular dominant w …
- 3,637
2
votes
Accepted
Does there exist a canonical "degree" filtration on quantum groups?
Nobody has answered this yet, so maybe I'll expand on my comment above, with the caveat that I'm no expert in this area. I believe the answer to your question is yes; the reference for all of this is …
- 3,637
4
votes
0
answers
203
views
The Killing form on quantized enveloping algebras and reduction to the classical case
Let $U_q$ be the quantized enveloping algebra associated to a semisimple Lie algebra $\mathfrak g$. It is a result due to Tanisaki (see here; also see Chapter 6 of Jantzen's book Lectures on Quantum G …
- 3,637