Question

What is the Lie theoretic interpretation of conjugate of a partition?

score 72 · Answer 1 · 2026-03-22 02:42:42

72

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What is the Lie theoretic interpretation of conjugate of a partition?

Published on 22 Mar 2026 - 2:42

score 603 · Answer 2 · 2026-03-22 10:11:44

603

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Let $p$ be a prime number and $S\subseteq\{1,2,\cdots,p-1\}$ be a subset such that $|S|>p^{\frac{3}{4}}$...

Published on 22 Mar 2026 - 10:11

score 113 · Answer 3 · 2026-03-20 22:38:43

113

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Clique-coclique bound for vertex-transitive graphs

Published on 20 Mar 2026 - 22:38

score 38 · Answer 4 · 2026-03-21 17:56:33

38

Views

Evaluating character functions

Published on 21 Mar 2026 - 17:56

score 79 · Answer 5 · 2026-03-21 19:50:06

79

Views

Are there interesting combinatorial proofs which use more sophisticated grouping than sign-reversing involutions?

Published on 21 Mar 2026 - 19:50

score 49 · Answer 6 · 2026-03-20 03:54:09

49

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Can we characterize the “associate classes” of a unipotent quasi-commutative quasigroup as some combinatorial design?

Published on 20 Mar 2026 - 3:54

score 105 · Answer 7 · 2026-03-21 16:17:35

105

Views

Prove that the coefficients of F(x) are positive integers

Published on 21 Mar 2026 - 16:17

score 185 · Answer 8 · 2026-03-21 21:38:47

185

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the number of sequences is equal to the number of permutations

Published on 21 Mar 2026 - 21:38

score 85 · Answer 9 · 2026-03-22 07:00:38

85

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How many ways can someone choose a permutation $w $ and color each one of the integers [n] so that the minimum element of every cycle of w is white?

Published on 22 Mar 2026 - 7:00

score 149 · Answer 10 · 2026-02-24 08:35:22

149

Views

Prove $\sum_{n \ge 0} (n+1)^{n-1}\frac{x^n}{n!} =(1- \sum_{n \ge 1} (n-1)^{n-1} \frac{x^n}{n!}) ^{-1}$

Published on 24 Feb 2026 - 8:35

score 58 · Answer 11 · 2026-03-19 19:53:00

58

Views

Clique-coclique bound in association scheme

Published on 19 Mar 2026 - 19:53

score 129 · Answer 12 · 2026-03-22 00:19:23

129

Views

Proving combinatoric identities with the inclusion and exclusion principle

Published on 22 Mar 2026 - 0:19

score 24 · Answer 13 · 2026-03-22 12:49:39

24

Views

Derivation of the Macdonald operator $D_{n}(X;q,t)$

Published on 22 Mar 2026 - 12:49

score 49 · Answer 14 · 2026-03-26 04:14:36

49

Views

Number of semi-standard Young tableaux of shape $\lambda$ with some entries fixed

Published on 26 Mar 2026 - 4:14

score 31 · Answer 15 · 2026-03-22 09:37:54

31

Views

Decidability of Wilf Equivalence

Published on 22 Mar 2026 - 9:37

List Question

What is the Lie theoretic interpretation of conjugate of a partition?

Let $p$ be a prime number and $S\subseteq\{1,2,\cdots,p-1\}$ be a subset such that $|S|>p^{\frac{3}{4}}$...

Clique-coclique bound for vertex-transitive graphs

Evaluating character functions

Are there interesting combinatorial proofs which use more sophisticated grouping than sign-reversing involutions?

Can we characterize the “associate classes” of a unipotent quasi-commutative quasigroup as some combinatorial design?

Prove that the coefficients of F(x) are positive integers

the number of sequences is equal to the number of permutations

How many ways can someone choose a permutation $w $ and color each one of the integers [n] so that the minimum element of every cycle of w is white?

Prove $\sum_{n \ge 0} (n+1)^{n-1}\frac{x^n}{n!} =(1- \sum_{n \ge 1} (n-1)^{n-1} \frac{x^n}{n!}) ^{-1}$

Clique-coclique bound in association scheme

Proving combinatoric identities with the inclusion and exclusion principle

Derivation of the Macdonald operator $D_{n}(X;q,t)$

Number of semi-standard Young tableaux of shape $\lambda$ with some entries fixed

Decidability of Wilf Equivalence

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