User Jim Humphreys

18 votes

Accepted

finding highest weight of dual of a representation of a semisimple lie algebra

answered Nov 1, 2012 at 23:46

17 votes

Generators of invariant polynomials of semisimple Lie algebra

answered Oct 8, 2014 at 14:27

17 votes

Do semisimple algebraic groups always have faithful irreducible representations?

answered Jun 28, 2010 at 19:17

17 votes

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Gap in an argument in Fulton & Harris?

answered Feb 6, 2011 at 23:22

17 votes

Polynomial invariants of the exceptional Weyl groups

answered Sep 3, 2010 at 14:31

17 votes

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Abstract Jordan Decomposition different from usual Jordan Decomposition

answered Apr 15, 2011 at 22:57

17 votes

Decompose tensor product of type $G_2$ Lie algebras.

answered Jan 19, 2012 at 20:16

17 votes

Reference for representation theory of SL_2(Z/n)

answered Feb 1, 2012 at 17:47

16 votes

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Modern reference for maximal connected subgroups of compact Lie groups

answered Apr 1, 2011 at 20:17

16 votes

Longest element of Weyl groups

answered Feb 9, 2011 at 22:54

16 votes

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On the Weyl character formula

answered Jan 6, 2011 at 23:52

16 votes

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cohomology theory for algebraic groups

answered Jan 14, 2011 at 21:44

16 votes

Why we need to study representations of matrix groups?

answered Jan 6, 2014 at 16:10

16 votes

Representation ring of SU(n)?

answered Nov 14, 2012 at 16:38

16 votes

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About the intrinsic definition of the Weyl group of complex semisimple Lie algebras

answered Aug 2, 2012 at 10:44

15 votes

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Motivation behind the construction of Deligne and Lusztig

answered Oct 14, 2012 at 20:51

15 votes

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Algebraic Groups in Characteristic p

answered Oct 21, 2013 at 12:10

15 votes

Are there natural examples of non-symmetric Frobenius algebras?

answered Jun 19, 2014 at 13:22

15 votes

Linear Algebra Texts?

answered Mar 10, 2010 at 18:59

15 votes

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Affine Weyl groups as Coxeter groups

answered Mar 20, 2010 at 20:02

15 votes

Is every finite-dimensional Lie algebra the Lie algebra of an algebraic group?

answered May 5, 2010 at 18:43

14 votes

Books you would like to see translated into English

answered Mar 11, 2010 at 16:01

14 votes

Accepted

Why are they called Spherical Varieties?

answered Jan 25, 2011 at 21:12

14 votes

how to find the varieties whose cohomology realizes certain representations?

answered Apr 18, 2011 at 22:22

14 votes

Connectedness of Centralizers in $GL_n$

answered May 16, 2011 at 15:47

14 votes

Rational forms of simple Lie algebras

answered Mar 6, 2012 at 23:56

14 votes

What is the difference between p-adic Lie groups and linear algebraic groups over p-adic fields?

answered Jan 30, 2015 at 15:06

14 votes

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Definitions of real reductive groups

answered Jun 25, 2013 at 18:51

14 votes

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Lie algebras over non-algebraically closed fields

answered Jun 29, 2012 at 22:32

13 votes

Connectedness of the linear algebraic group SO_n

answered Jun 5, 2012 at 23:00

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704 Answers

finding highest weight of dual of a representation of a semisimple lie algebra

Generators of invariant polynomials of semisimple Lie algebra

Do semisimple algebraic groups always have faithful irreducible representations?

Gap in an argument in Fulton & Harris?

Polynomial invariants of the exceptional Weyl groups

Abstract Jordan Decomposition different from usual Jordan Decomposition

Decompose tensor product of type $G_2$ Lie algebras.

Reference for representation theory of SL_2(Z/n)

Modern reference for maximal connected subgroups of compact Lie groups

Longest element of Weyl groups

On the Weyl character formula

cohomology theory for algebraic groups

Why we need to study representations of matrix groups?

Representation ring of SU(n)?

About the intrinsic definition of the Weyl group of complex semisimple Lie algebras

Motivation behind the construction of Deligne and Lusztig

Algebraic Groups in Characteristic p

Are there natural examples of non-symmetric Frobenius algebras?

Linear Algebra Texts?

Affine Weyl groups as Coxeter groups

Is every finite-dimensional Lie algebra the Lie algebra of an algebraic group?

Books you would like to see translated into English

Why are they called Spherical Varieties?

how to find the varieties whose cohomology realizes certain representations?

Connectedness of Centralizers in $GL_n$

Rational forms of simple Lie algebras

What is the difference between p-adic Lie groups and linear algebraic groups over p-adic fields?

Definitions of real reductive groups

Lie algebras over non-algebraically closed fields

Connectedness of the linear algebraic group SO_n