User David Hill

12 votes

Can one easily pick out a basis of a simple Lie algebra after picking a convex order?

answered Jan 1, 2012 at 21:34

8 votes

Free $k[x_1, \dots, x_n]^{S_n}$-module?

answered Sep 2, 2015 at 17:37

7 votes

Accepted

Degenerate affine Hecke Algebra

answered Dec 4, 2012 at 14:20

7 votes

Video lectures of mathematics courses available online for free

answered Feb 16, 2011 at 19:26

5 votes

Accepted

notation in Lusztig's book: introduction to quantum groups

answered Apr 19, 2011 at 17:12

4 votes

Simple modules for $U_q(\mathfrak{sl}_n)$ at roots of unity

answered Mar 1, 2011 at 20:45

4 votes

Practical Ways to get Skew-Schur Functions

answered Apr 28, 2010 at 19:13

4 votes

What would you want to see at the Museum of Mathematics?

answered Jan 1, 2011 at 7:00

4 votes

Schur-Weyl duality

answered Sep 27, 2011 at 18:00

4 votes

Accepted

Does Schur's Lemma hold in this case? Regular representations of $S_n$ over $\mathbb R$

answered Oct 22, 2014 at 11:33

4 votes

Accepted

The formula for a perhaps basic identity (move from stackexchange)

answered Nov 1, 2014 at 19:21

3 votes

What is a description of winning strategies in this tile game?

answered Sep 17, 2013 at 19:38

3 votes

Are there positive formulae for the inner product between elements of a Lie algebra representation in the Shapovalov form?

answered Mar 3, 2010 at 21:11

3 votes

Does some version of U_q(gl(1|1)) have a basis like Lusztig's basis for \dot{U(sl_2)}?

answered Sep 4, 2010 at 6:01

3 votes

When does Lusztig's canonical basis have non-positive structure coefficients?

answered Sep 29, 2010 at 23:44

3 votes

Standard model of particle physics for mathematicians

answered Mar 9, 2011 at 19:22

3 votes

Young's lattice and the Weyl algebra

answered Mar 16, 2011 at 18:59

3 votes

semisimplicity of braid reps?

answered Mar 18, 2011 at 23:05

3 votes

What is known about the centraliser of the Hecke algebra in the affine Hecke algebra?

answered Jun 9, 2011 at 18:27

3 votes

Generalization of Jordan Decomposition for Several Commuting Operators

answered Feb 17, 2011 at 20:18

2 votes

Representation theory of $S_n$

answered Apr 19, 2011 at 16:35

2 votes

Accepted

Realizing higher level Fock spaces

answered Oct 4, 2010 at 19:22

2 votes

How do I stop worrying about root systems and decomposition theorems (for reductive groups)?

answered Oct 20, 2010 at 23:34

2 votes

A class of matrix determinants between Wronskians and Vandermondes

answered Oct 7, 2014 at 23:36

2 votes

Given a locally nilpotent derivation over a field of characteristic 0 and a local slice, how is the ring homomorphism below defined?

answered Nov 3, 2014 at 12:50

2 votes

What natural numbers can be considered as the product of orders of elements of a finite (abelian) group

answered Sep 10, 2013 at 17:45

2 votes

Accepted

character formula for demazure modules

answered Mar 5, 2013 at 20:39

2 votes

permutation representation of $S_n$

answered Apr 16, 2013 at 20:31

2 votes

Accepted

Simultaneous Smith Normalization of a Composable Matrix Sequence

answered Jun 8, 2012 at 13:34

2 votes

Justifying/Explaining math research in a public address

answered Aug 7, 2012 at 19:34

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42 Answers

Can one easily pick out a basis of a simple Lie algebra after picking a convex order?

Free $k[x_1, \dots, x_n]^{S_n}$-module?

Degenerate affine Hecke Algebra

Video lectures of mathematics courses available online for free

notation in Lusztig's book: introduction to quantum groups

Simple modules for $U_q(\mathfrak{sl}_n)$ at roots of unity

Practical Ways to get Skew-Schur Functions

What would you want to see at the Museum of Mathematics?

Schur-Weyl duality

Does Schur's Lemma hold in this case? Regular representations of $S_n$ over $\mathbb R$

The formula for a perhaps basic identity (move from stackexchange)

What is a description of winning strategies in this tile game?

Are there positive formulae for the inner product between elements of a Lie algebra representation in the Shapovalov form?

Does some version of U_q(gl(1|1)) have a basis like Lusztig's basis for \dot{U(sl_2)}?

When does Lusztig's canonical basis have non-positive structure coefficients?

Standard model of particle physics for mathematicians

Young's lattice and the Weyl algebra

semisimplicity of braid reps?

What is known about the centraliser of the Hecke algebra in the affine Hecke algebra?

Generalization of Jordan Decomposition for Several Commuting Operators

Representation theory of $S_n$

Realizing higher level Fock spaces

How do I stop worrying about root systems and decomposition theorems (for reductive groups)?

A class of matrix determinants between Wronskians and Vandermondes

Given a locally nilpotent derivation over a field of characteristic 0 and a local slice, how is the ring homomorphism below defined?

What natural numbers can be considered as the product of orders of elements of a finite (abelian) group

character formula for demazure modules

permutation representation of $S_n$

Simultaneous Smith Normalization of a Composable Matrix Sequence

Justifying/Explaining math research in a public address