User Zhiyuan Wang

8 votes

1 answer

311 views

How does the Tannaka duality work for weak Hopf algebras and fusion categories?

asked Sep 4, 2023 at 19:06

7 votes

2 answers

201 views

Does the canonical element associated to a finite dimensional $\mathbb{C}^* $-Hopf algebra always have finite order?

asked Jul 13 at 15:59

6 votes

2 answers

318 views

Involutive solutions to the Yang-Baxter equation (and triangular Hopf algebras)

asked May 1, 2021 at 18:30

5 votes

1 answer

183 views

Find all finite dimensional simple Lie algebras satisfying certain conditions

asked Feb 25, 2021 at 20:48

5 votes

1 answer

80 views

Weakly involutive $R$-matrices and representations of the symmetric group $S_N$ in restricted subspaces of $V^{\otimes N}$

asked Jul 26 at 17:41

4 votes

0 answers

67 views

Smallest finite dimensional $\mathbb{C}^*$-Hopf algebra that is not "strongly group theoretical"

asked Jul 13 at 19:16

4 votes

0 answers

82 views

Is the Drinfeld element of a semisimple quasitriangular Hopf algebra invariant under the Drinfeld twist?

asked May 15 at 19:54

4 votes

1 answer

85 views

Find all finite dimensional simple quotients of a possibly infinite dimensional Lie algebra generated by three elements

asked Feb 25, 2021 at 21:35

3 votes

2 answers

135 views

Are the Drinfeld doubles of twist equivalent Hopf algebras twist equivalent?

asked Mar 10 at 11:27

3 votes

0 answers

60 views

$G$-crossed (braided) fusion categories and Tannaka duality

asked Aug 12 at 8:43

2 votes

1 answer

78 views

Does there exist a nontrivial triangular weak Hopf algebra?

asked Jul 26 at 21:28

2 votes

1 answer

266 views

Existence of finite dimensional representation of an algebra

asked Nov 11, 2022 at 4:40

2 votes

0 answers

28 views

Examples of (weak-)bialgebras/Hopf algebras with a finite dimensional unitary representation and corepresentation and polynomial growth rate

asked Sep 4, 2023 at 20:12

1 vote

0 answers

81 views

Structure and representation of a non-homogeneous quadratic algebra

asked Oct 20, 2022 at 19:15

Stack Exchange Network

14 Questions

How does the Tannaka duality work for weak Hopf algebras and fusion categories?

Does the canonical element associated to a finite dimensional $\mathbb{C}^* $-Hopf algebra always have finite order?

Involutive solutions to the Yang-Baxter equation (and triangular Hopf algebras)

Find all finite dimensional simple Lie algebras satisfying certain conditions

Weakly involutive $R$-matrices and representations of the symmetric group $S_N$ in restricted subspaces of $V^{\otimes N}$

Smallest finite dimensional $\mathbb{C}^*$-Hopf algebra that is not "strongly group theoretical"

Is the Drinfeld element of a semisimple quasitriangular Hopf algebra invariant under the Drinfeld twist?

Find all finite dimensional simple quotients of a possibly infinite dimensional Lie algebra generated by three elements

Are the Drinfeld doubles of twist equivalent Hopf algebras twist equivalent?

$G$-crossed (braided) fusion categories and Tannaka duality

Does there exist a nontrivial triangular weak Hopf algebra?

Existence of finite dimensional representation of an algebra

Examples of (weak-)bialgebras/Hopf algebras with a finite dimensional unitary representation and corepresentation and polynomial growth rate

Structure and representation of a non-homogeneous quadratic algebra