User Igor Makhlin

45 votes

8 answers

23k views

An "advanced beginner's" book on algebraic topology?

asked Jul 8, 2013 at 13:20

24 votes

5 answers

3k views

Why are Jucys-Murphy elements' eigenvalues whole numbers?

asked Dec 10, 2011 at 22:53

20 votes

4 answers

2k views

An $n!\times n!$ determinant

asked Feb 14, 2012 at 3:49

16 votes

1 answer

698 views

An introduction to Macdonald polynomials other (better?!) than SFHP

asked Sep 6, 2015 at 17:12

15 votes

2 answers

762 views

Gelfand-Tsetlin algebras and "Jucys-Murphy elements" for $\mathfrak{gl}_n$

asked Dec 25, 2016 at 23:38

14 votes

5 answers

881 views

Birkhoff's representation theorem vs matroid-geometric lattice correspondence

asked Jul 16, 2022 at 2:01

11 votes

0 answers

432 views

Connection between Gelfand-Tsetlin basis and SSYT basis in Schur module

asked Apr 29, 2017 at 14:02

10 votes

0 answers

573 views

How general are Gröbner degenerations?

asked Feb 20, 2020 at 0:14

9 votes

1 answer

986 views

Closures of torus orbits in flag varieties

asked Jun 18, 2018 at 2:37

9 votes

0 answers

677 views

Software for explicit computations in representations of classical Lie algebras

asked Jun 9, 2016 at 15:42

9 votes

0 answers

204 views

Standard reference/name for "initial ideals $\Leftrightarrow$ associated graded rings"

asked Mar 13, 2019 at 0:28

9 votes

0 answers

445 views

The number of rows in a tableau generated by the RSK algorithm.

asked Mar 8, 2012 at 4:18

7 votes

6 answers

2k views

Irreps which aren't highest-weight modules.

asked Apr 23, 2012 at 14:15

7 votes

1 answer

1k views

Looking for a "scientific" application of a recreational puzzle.

asked May 14, 2012 at 21:19

7 votes

0 answers

188 views

Reference for an "elementary" combinatorial fact

asked Jan 11, 2017 at 23:32

7 votes

0 answers

449 views

Reference for the multiprojective Nullstellensatz?

asked Aug 6, 2020 at 20:26

7 votes

0 answers

365 views

Why are fundamental weights denoted by omega?

asked Oct 3, 2020 at 22:50

6 votes

0 answers

188 views

Natural bijection between join- and meet-irreducibles in modular lattices?

asked Jul 31, 2022 at 17:03

6 votes

2 answers

291 views

"Minimal" connected matroids

asked Aug 12, 2023 at 14:48

6 votes

0 answers

256 views

Branching rules for type B/C/D Hall-Littlewood polynomials

asked Feb 11, 2017 at 22:58

6 votes

2 answers

311 views

Irreducibility of Gelfand-Serganova strata

asked Dec 5, 2018 at 21:43

6 votes

2 answers

408 views

Module in category O not generated by a finite set of HWVs.

asked Aug 28, 2012 at 20:12

6 votes

1 answer

813 views

Interesting behaviour of Brion's formula under a degenerate change of variables

asked Jul 10, 2013 at 19:44

6 votes

2 answers

981 views

Decomposing polyhedral cones into "direct sums" and a polynomial

asked Nov 17, 2014 at 0:13

6 votes

0 answers

181 views

Looking for the correct version of a wrong statement from Barvinok's book on convex polyhedra

asked Jan 29, 2015 at 13:40

5 votes

1 answer

252 views

Infinitely many initial ideals for non-Artinian monomial orders?

asked Apr 5, 2019 at 1:03

5 votes

0 answers

241 views

Authorship and the exact wording of a quote about mathematics

asked Nov 12, 2015 at 5:21

5 votes

0 answers

136 views

Face structures of chain polytopes

asked Dec 10, 2015 at 9:34

4 votes

0 answers

158 views

Reference for the notion of polyhedra "degenerations"

asked Jan 23, 2016 at 1:17

4 votes

1 answer

206 views

Representing a graph's vertices as linear combinations of paths

asked Mar 23, 2016 at 15:04

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48 Questions

An "advanced beginner's" book on algebraic topology?

Why are Jucys-Murphy elements' eigenvalues whole numbers?

An $n!\times n!$ determinant

An introduction to Macdonald polynomials other (better?!) than SFHP

Gelfand-Tsetlin algebras and "Jucys-Murphy elements" for $\mathfrak{gl}_n$

Birkhoff's representation theorem vs matroid-geometric lattice correspondence

Connection between Gelfand-Tsetlin basis and SSYT basis in Schur module

How general are Gröbner degenerations?

Closures of torus orbits in flag varieties

Software for explicit computations in representations of classical Lie algebras

Standard reference/name for "initial ideals $\Leftrightarrow$ associated graded rings"

The number of rows in a tableau generated by the RSK algorithm.

Irreps which aren't highest-weight modules.

Looking for a "scientific" application of a recreational puzzle.

Reference for an "elementary" combinatorial fact

Reference for the multiprojective Nullstellensatz?

Why are fundamental weights denoted by omega?

Natural bijection between join- and meet-irreducibles in modular lattices?

"Minimal" connected matroids

Branching rules for type B/C/D Hall-Littlewood polynomials

Irreducibility of Gelfand-Serganova strata

Module in category O not generated by a finite set of HWVs.

Interesting behaviour of Brion's formula under a degenerate change of variables

Decomposing polyhedral cones into "direct sums" and a polynomial

Looking for the correct version of a wrong statement from Barvinok's book on convex polyhedra

Infinitely many initial ideals for non-Artinian monomial orders?

Authorship and the exact wording of a quote about mathematics

Face structures of chain polytopes

Reference for the notion of polyhedra "degenerations"

Representing a graph's vertices as linear combinations of paths