User Marcel

53 votes

11 answers

6k views

What definitions were crucial to further understanding?

asked Dec 3, 2018 at 11:51

16 votes

0 answers

557 views

Identity involving Schur polynomials, binomial coefficients and contents of partition

asked Jan 18, 2022 at 19:42

14 votes

1 answer

388 views

Identity involving zonal polynomials and $\operatorname O(N)$ irrep dimensions

asked Apr 21, 2020 at 14:23

13 votes

1 answer

626 views

A difficult determinant

asked Apr 12, 2018 at 14:57

12 votes

2 answers

660 views

On shifted symmetric power sums

asked Aug 11, 2015 at 20:24

10 votes

1 answer

323 views

Integral of product of Schur functions

asked Nov 19, 2018 at 12:13

10 votes

1 answer

256 views

sum of character product over derangements

asked Apr 11, 2018 at 21:40

9 votes

1 answer

176 views

An integral indexed by two partitions that mysteriously vanishes

asked Nov 22, 2021 at 18:10

9 votes

2 answers

772 views

Characters of orthogonal groups as symmetric functions

asked Mar 6, 2019 at 20:02

7 votes

0 answers

138 views

Skew zonal polynomials, skew zonal spherical functions, and combinatorics

asked Mar 2, 2016 at 20:30

6 votes

0 answers

240 views

Factorization of permutations into two factors with fixed number of cycles, plus a placement condition

asked Jan 18, 2016 at 12:44

6 votes

1 answer

225 views

A sum over characters of $S_{2n}$ and zonal spherical functions of $(S_{2n},H_n)$

asked Feb 24, 2016 at 0:34

6 votes

1 answer

252 views

Binomial theorem for content polynomials of partitions

asked Jul 14, 2020 at 13:09

6 votes

0 answers

162 views

Expanding the zonal polynomial $Z_\lambda(x/(1-x))$

asked May 20, 2021 at 14:10

6 votes

1 answer

353 views

Identity involving Jack polynomials at $x^{-1}$

asked Mar 11, 2022 at 13:34

5 votes

1 answer

533 views

Riemann-Hilbert approach to Selberg integral

asked Jan 4, 2022 at 14:57

5 votes

1 answer

401 views

Sum involving determinants of binomial coefficients, indexed by partitions

asked Jun 30, 2020 at 13:00

5 votes

2 answers

186 views

Summing over normalized characters of the permutation group

asked Jul 10, 2020 at 19:58

5 votes

1 answer

299 views

Sum of skew characters over hooks and "odd" partitions

asked Mar 7, 2016 at 13:38

4 votes

0 answers

153 views

partial sum over characters of symmetric group

asked Oct 6, 2017 at 16:50

4 votes

1 answer

325 views

Hyperoctahedral group acting on a special permutation

asked Feb 24, 2016 at 19:31

4 votes

1 answer

321 views

Average of product of matrix elements in the special orthogonal group

asked Jun 24, 2020 at 19:21

4 votes

1 answer

237 views

Average of product of matrix elements in irreducible representations of unitary groups

asked Feb 6, 2019 at 13:38

4 votes

1 answer

202 views

Littlewood-Richardson coefficients for zonal polynomials

asked Feb 27, 2019 at 16:26

3 votes

1 answer

164 views

Integrability of complex gaussian random matrix model

asked Dec 12, 2015 at 18:16

3 votes

1 answer

186 views

Is there a Jacobi–Trudi formula for skew zonal polynomials?

asked May 3, 2021 at 20:37

3 votes

2 answers

483 views

Simplify multiple sum involving rising factorials

asked Feb 1, 2022 at 17:58

3 votes

1 answer

107 views

Does the reproducing property of the unitary group Poisson kernel require a multiple of the identity?

asked Apr 12 at 14:36

2 votes

1 answer

235 views

Identity involving double sum with binomials

asked Jan 28, 2022 at 12:07

2 votes

0 answers

163 views

Irreducible representation of $U(n)$ as subgroup of $U(d)$

asked Mar 1, 2021 at 13:23

Stack Exchange Network

35 Questions

What definitions were crucial to further understanding?

Identity involving Schur polynomials, binomial coefficients and contents of partition

Identity involving zonal polynomials and $\operatorname O(N)$ irrep dimensions

A difficult determinant

On shifted symmetric power sums

Integral of product of Schur functions

sum of character product over derangements

An integral indexed by two partitions that mysteriously vanishes

Characters of orthogonal groups as symmetric functions

Skew zonal polynomials, skew zonal spherical functions, and combinatorics

Factorization of permutations into two factors with fixed number of cycles, plus a placement condition

A sum over characters of $S_{2n}$ and zonal spherical functions of $(S_{2n},H_n)$

Binomial theorem for content polynomials of partitions

Expanding the zonal polynomial $Z_\lambda(x/(1-x))$

Identity involving Jack polynomials at $x^{-1}$

Riemann-Hilbert approach to Selberg integral

Sum involving determinants of binomial coefficients, indexed by partitions

Summing over normalized characters of the permutation group

Sum of skew characters over hooks and "odd" partitions

partial sum over characters of symmetric group

Hyperoctahedral group acting on a special permutation

Average of product of matrix elements in the special orthogonal group

Average of product of matrix elements in irreducible representations of unitary groups

Littlewood-Richardson coefficients for zonal polynomials

Integrability of complex gaussian random matrix model

Is there a Jacobi–Trudi formula for skew zonal polynomials?

Simplify multiple sum involving rising factorials

Does the reproducing property of the unitary group Poisson kernel require a multiple of the identity?

Identity involving double sum with binomials

Irreducible representation of $U(n)$ as subgroup of $U(d)$