User Emil Sinclair - Mathematics Stack Exchange

7 votes

1 answer

599 views

How do basic results in representation theory change going to positive characteristic fields and/or not algebraically closed?

asked Apr 23, 2019 at 8:12

7 votes

0 answers

194 views

What is the dimension of the span over $\mathbb{F}$ of permutation matrices on $n$ elements if $char(\mathbb{F})$ divides $n$?

asked Aug 29, 2019 at 14:00

5 votes

1 answer

158 views

Basis for span of tensor power of permutation matrices?

asked Dec 12, 2019 at 16:37

5 votes

1 answer

457 views

Decomposition of tensor product of permutation representation of $S_n$.

asked Apr 10, 2019 at 9:22

4 votes

1 answer

68 views

Do two similar boolean matrices have same number of non-zero entries?

asked Jan 1, 2018 at 16:06

4 votes

1 answer

403 views

Are there any known NP-hard group theoretic problems?

asked Oct 11, 2022 at 8:48

3 votes

1 answer

92 views

Question on bilinear form of Laplacian matrix for graphs

asked Sep 6, 2022 at 9:27

3 votes

1 answer

114 views

Does every $3$-regular bipartite graph have a $4$-cycle?

asked Jan 19, 2023 at 9:50

3 votes

1 answer

189 views

Do characters distinguish non-isomorphic representations of any semisimple algebra?

asked Jul 11, 2019 at 13:15

3 votes

0 answers

63 views

Module isomorphism and matrix similarity

asked Jul 23, 2019 at 16:10

3 votes

1 answer

75 views

How to understand the inverse loop in the fundamental group?

asked Jul 4 at 9:21

2 votes

1 answer

92 views

Isomorphism of subalgebras

asked Feb 11, 2018 at 16:53

2 votes

0 answers

101 views

Are there instances of canonical Grobner bases (i.e. independent of term order)?

asked May 6, 2020 at 8:48

2 votes

1 answer

204 views

Why is the universal covering tree of $G$ unique up to isomorphism and how to obtain the covers of $G$ of quotients thereof?

asked Jan 18, 2022 at 15:27

2 votes

1 answer

67 views

Crossing number of 3-regular graphs

asked Nov 8, 2022 at 9:31

2 votes

2 answers

81 views

How many orthonormal bases does a disjoint union of orthonormal bases contain? [closed]

asked Apr 11, 2023 at 9:04

1 vote

0 answers

23 views

How common are expander graphs?

asked May 23, 2023 at 9:31

1 vote

1 answer

23 views

Question on large induced subgraphs of non-isomorphic graphs

asked Jan 31 at 18:47

1 vote

1 answer

33 views

Testing for strong homomorphism in polynomial time

asked May 21 at 9:51

1 vote

0 answers

17 views

Coloured graph homomorphism problem

asked May 22 at 7:46

1 vote

1 answer

219 views

How to modify the hungarian algorithm for bipartite graphs with multiple edges with some already imposed connections

asked Dec 30, 2022 at 16:05

1 vote

1 answer

43 views

Finding solutions to Boolean satisfaction problems

asked Mar 7, 2023 at 17:11

1 vote

0 answers

46 views

What's the minimal largest eigenvalue of the sum of two symmetric matrices?

asked Sep 22, 2022 at 15:12

1 vote

1 answer

408 views

Maximum common edge subgraph of two trees in polynomial time?

asked Oct 18, 2022 at 13:36

1 vote

0 answers

38 views

Are there any known results about the multiplicity of eigenvalues of graphs of bounded diameter?

asked Feb 21, 2022 at 10:15

1 vote

0 answers

113 views

What's the product of the non-zero eigenvalues of the adjacency matrix of a graph?

asked Feb 22, 2022 at 14:36

1 vote

0 answers

397 views

Expected return time of random walk.

asked Jul 19, 2022 at 11:11

1 vote

1 answer

85 views

Explanation of group theoretic notation (lower central exponent $p$ series)

asked Apr 6, 2021 at 21:28

1 vote

0 answers

43 views

Is isomorphism of algebras of matrices always witnessed by matrix similarity?

asked Jul 8, 2019 at 21:51

0 votes

1 answer

47 views

Example of a pair of non-isomorphic quasi-groups with parastrophic Latin squares?

asked May 31, 2021 at 20:32

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36 Questions

How do basic results in representation theory change going to positive characteristic fields and/or not algebraically closed?

What is the dimension of the span over $\mathbb{F}$ of permutation matrices on $n$ elements if $char(\mathbb{F})$ divides $n$?

Basis for span of tensor power of permutation matrices?

Decomposition of tensor product of permutation representation of $S_n$.

Do two similar boolean matrices have same number of non-zero entries?

Are there any known NP-hard group theoretic problems?

Question on bilinear form of Laplacian matrix for graphs

Does every $3$-regular bipartite graph have a $4$-cycle?

Do characters distinguish non-isomorphic representations of any semisimple algebra?

Module isomorphism and matrix similarity

How to understand the inverse loop in the fundamental group?

Isomorphism of subalgebras

Are there instances of canonical Grobner bases (i.e. independent of term order)?

Why is the universal covering tree of $G$ unique up to isomorphism and how to obtain the covers of $G$ of quotients thereof?

Crossing number of 3-regular graphs

How many orthonormal bases does a disjoint union of orthonormal bases contain? [closed]

How common are expander graphs?

Question on large induced subgraphs of non-isomorphic graphs

Testing for strong homomorphism in polynomial time

Coloured graph homomorphism problem

How to modify the hungarian algorithm for bipartite graphs with multiple edges with some already imposed connections

Finding solutions to Boolean satisfaction problems

What's the minimal largest eigenvalue of the sum of two symmetric matrices?

Maximum common edge subgraph of two trees in polynomial time?

Are there any known results about the multiplicity of eigenvalues of graphs of bounded diameter?

What's the product of the non-zero eigenvalues of the adjacency matrix of a graph?

Expected return time of random walk.

Explanation of group theoretic notation (lower central exponent $p$ series)

Is isomorphism of algebras of matrices always witnessed by matrix similarity?

Example of a pair of non-isomorphic quasi-groups with parastrophic Latin squares?