Skip to main content

All Questions

Filter by
Sorted by
Tagged with
11 votes
2 answers
1k views

Yang–Baxter explanation

What are the most simple examples which can explain the meaning of Yang–Baxter equation? Is there any way to explain this mysterious object to a person who is not a professional in quantum groups? ...
Alexey Ustinov's user avatar
7 votes
1 answer
672 views

The Irreducible Corepresentations of the eight-dimensional Kac-Paljutkin Quantum Group

I asked this question on Math.Stack but have not had any answers. Question What are the irreducible corepresentations of the eight-dimensional Kac-Paljutkin Quantum Group, $A$? The trivial ...
JP McCarthy's user avatar
  • 1,037
24 votes
9 answers
3k views

expository papers related to quantum groups

Hello all, I know basic representation theory(finite groups, lie groups&lie algebras) and I want to get a flavor of quantum groups (why they are useful, important results etc) and other related ...
Qiao's user avatar
  • 1,719
7 votes
2 answers
405 views

The Irreducible Representations of the Sekine Quantum Groups

Here Y. Sekine introduces a one-parameter family of finite quantum groups of dimension $2n^2$. Let $n\geq 3$ be fixed and $\zeta=e^{2\pi i/n}$. Set $$\mathcal{B}_n=\mathbb{Z}_n\times\mathbb{Z}_n=\{(i,...
JP McCarthy's user avatar
  • 1,037
6 votes
3 answers
442 views

Commutative and Cocommutative Quantum Groups

I am using this definition: An algebra of functions on a finite quantum group $\mathbb{G}$ is a finite dimensional $C^\ast$-Hopf algebra $A=:F(\mathbb{G})$. I have the following (very well known --...
JP McCarthy's user avatar
  • 1,037