User Jianrong Li

24

36

votes

6

answers

6k

views

Why we need to study representations of matrix groups?

Dec 15 at 20:31 LSpice 5,211

6

16

votes

4

answers

914

views

Reference request: Grassmannian and Plucker coordinates in type B, C, D

ag.algebraic-geometry co.combinatorics rt.representation-theory lie-groups

Jul 31 at 0:57 user162999 21

11

15

votes

4

answers

2k

views

Decompose tensor product of type $G_2$ Lie algebras.

lie-algebras rt.representation-theory reference-request

Jan 23 '12 at 18:16 Jim Humphreys 49.5k

4

13

votes

1

answer

410

views

Is there some relation between cluster algebras and crystal graphs?

rt.representation-theory quantum-groups cluster-algebras

Jun 30 '17 at 16:08 WSL 1,739

7

10

votes

3

answers

836

views

The concept “conjugate class” in monoids.

semigroups-and-monoids

Jan 28 at 21:54 LSpice 5,211

2

8

votes

3

answers

393

views

How to use Hilbert series to count combinatorial objects?

ag.algebraic-geometry ac.commutative-algebra

Sep 30 '18 at 19:24 Sam Hopkins 14.4k

5

8

votes

2

answers

671

views

Relation between representations of p-adic groups and affine Hecke algebras

nt.number-theory rt.representation-theory algebraic-groups automorphic-forms affine-hecke-algebras

Oct 16 '16 at 20:45 kolmo 128

2

8

votes

1

answer

436

views

Bernstein–Zelevinsky classification for classical groups

nt.number-theory rt.representation-theory algebraic-groups automorphic-forms langlands-conjectures

Oct 16 '16 at 20:31 kolmo 128

3

8

votes

2

answers

593

views

Algebra in a category

ct.category-theory quantum-groups hopf-algebras

Aug 19 '16 at 19:34 Zahlendreher 996

3

8

votes

1

answer

928

views

PBW basis and canonical basis

lie-algebras quantum-groups canonical-bases

Jun 25 '14 at 0:49 Community♦ 1

2

8

votes

2

answers

931

views

Relations between affine Grassmannian and Grassmannian

ag.algebraic-geometry rt.representation-theory grassmannians affine-grassmannian

Dec 30 '13 at 14:29 Peter Crooks 4,660

1

6

votes

1

answer

250

views

What is the status of a problem about cluster categories?

rt.representation-theory quivers cluster-algebras

Sep 15 '17 at 9:39 Matthew Pressland 1,525

4

6

votes

1

answer

207

views

Compatibility conditions for Yetter-Drinfeld modules

rt.representation-theory quantum-groups hopf-algebras

Aug 2 '16 at 11:02 Jianrong Li 5,679

4

6

votes

1

answer

224

views

Questions about the $\mathbf{i}$-trails of Berenstein and Zelevinsky

reference-request rt.representation-theory lie-groups lie-algebras

Dec 25 '14 at 23:12 Joel Kamnitzer 3,063

3

6

votes

3

answers

870

views

Reference request: representation of type G2 Lie algebras.

rt.representation-theory lie-algebras reference-request

Oct 21 '11 at 2:43 Dave Anderson 2,361

2

5

votes

0

answers

92

views

Distance of two points in Grassmannian using Plücker coordinate

grassmannians machine-learning

Jul 10 at 13:08 Jianrong Li 5,679

2

5

votes

0

answers

152

views

Reference about the root systems $E_{n}$, $n \ge 10$

lie-algebras mp.mathematical-physics root-systems kac-moody-algebras

Dec 5 '19 at 9:17 Jianrong Li 5,679

2

5

votes

2

answers

386

views

Do we have super Plucker relations for a super Grassmannian?

ag.algebraic-geometry ac.commutative-algebra cluster-algebras

Dec 1 '19 at 2:46 Sylvester W. Zhang 460

5

votes

1

answer

158

views

Number of real roots in type $\tilde{E}_8$

co.combinatorics lie-algebras root-systems kac-moody-algebras

Jul 19 '19 at 15:31 Andrei Smolensky 2,511

3

5

votes

1

answer

364

views

How to check that whether or not a surface is a K3 surface?

ag.algebraic-geometry

Aug 28 '18 at 8:36 Dmitri Panov 26.6k

1

5

votes

1

answer

342

views

Reference request: type C, D Catalan numbers

co.combinatorics

Apr 26 '17 at 20:34 Christian Gaetz 2,350

4

5

votes

2

answers

279

views

Questions about $\mathbb{C}[G/U^-]$ and $\mathbb{C}[B]$

rt.representation-theory lie-groups algebraic-groups

Dec 11 '16 at 14:27 LSpice 5,211

3

5

votes

0

answers

116

views

How to translate multi-segments to Drinfeld polynomials?

rt.representation-theory lie-groups quantum-groups hopf-algebras hecke-algebras

Sep 20 '16 at 11:04 Jianrong Li 5,679

1

5

votes

1

answer

263

views

Center of quantum affine algebras

rt.representation-theory quantum-groups hopf-algebras

Jan 31 '16 at 11:48 Alexander Chervov 20.5k

3

5

votes

1

answer

479

views

Percolation in Cayley graphs of semigroups.

pr.probability semigroups-and-monoids geometric-group-theory

Jun 12 '12 at 7:51 Community♦ 1

2

4

votes

0

answers

275

views

Does the tensor algebra $T(V)$ of $V$ isomorphic to the symmetric algebra of the free Lie algebra over $V$?

ra.rings-and-algebras lie-algebras hopf-algebras

Apr 26 at 5:36 YCor 42.6k

1

4

votes

1

answer

221

views

Big cells in a Grassmann and permutations

ag.algebraic-geometry co.combinatorics total-positivity

Dec 6 '19 at 0:34 Sam Hopkins 14.4k

5

4

votes

1

answer

448

views

Geometric RSK correspondece and classical RSK correspondence

co.combinatorics

Aug 28 '19 at 1:16 Sam Hopkins 14.4k

3

4

votes

1

answer

167

views

Are there some known identities of elliptic polylogarithms similar to the Abel identity of polylogarithm?

nt.number-theory mp.mathematical-physics special-functions string-theory

May 30 '19 at 5:57 Alexey Ustinov 9,803

4

votes

1

answer

153

views

Reference request: additive basis of coordinate ring of Grassmannians

ag.algebraic-geometry

May 5 '19 at 3:12 Michael Albanese 14.8k

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204 Questions

Why we need to study representations of matrix groups?

Reference request: Grassmannian and Plucker coordinates in type B, C, D

Decompose tensor product of type $G_2$ Lie algebras.

Is there some relation between cluster algebras and crystal graphs?

The concept “conjugate class” in monoids.

How to use Hilbert series to count combinatorial objects?

Relation between representations of p-adic groups and affine Hecke algebras

Bernstein–Zelevinsky classification for classical groups

Algebra in a category

PBW basis and canonical basis

Relations between affine Grassmannian and Grassmannian

What is the status of a problem about cluster categories?

Compatibility conditions for Yetter-Drinfeld modules

Questions about the $\mathbf{i}$-trails of Berenstein and Zelevinsky

Reference request: representation of type G2 Lie algebras.

Distance of two points in Grassmannian using Plücker coordinate

Reference about the root systems $E_{n}$, $n \ge 10$

Do we have super Plucker relations for a super Grassmannian?

Number of real roots in type $\tilde{E}_8$

How to check that whether or not a surface is a K3 surface?

Reference request: type C, D Catalan numbers

Questions about $\mathbb{C}[G/U^-]$ and $\mathbb{C}[B]$

How to translate multi-segments to Drinfeld polynomials?

Center of quantum affine algebras

Percolation in Cayley graphs of semigroups.

Does the tensor algebra $T(V)$ of $V$ isomorphic to the symmetric algebra of the free Lie algebra over $V$?

Big cells in a Grassmann and permutations

Geometric RSK correspondece and classical RSK correspondence

Are there some known identities of elliptic polylogarithms similar to the Abel identity of polylogarithm?

Reference request: additive basis of coordinate ring of Grassmannians