User Jim Humphreys

10 votes

Etymology of cuspidal representations

answered Jan 14, 2014 at 14:16

10 votes

Accepted

Why people usually consider reductive groups in GIT?

answered Jan 20, 2014 at 18:40

9 votes

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Maximal Submodule of a Verma Module

answered Dec 4, 2013 at 13:57

9 votes

Can one show the equivalence of the abstract and classical Jordan decompositions for simple Lie algebras without complete reducibility?

answered Sep 15, 2013 at 14:05

9 votes

Embedding linear algebraic groups of a given dimension into a fixed $\mathrm{GL}_N$

answered Jun 8, 2015 at 22:35

9 votes

Representations of complex semi-simple algebraic group "defined over $\mathbf{Z}$"?

answered Jun 22, 2015 at 20:12

9 votes

Accepted

Confusing Point in Proof: Semisimple Automorphism Fixes Torus

answered Nov 10, 2012 at 14:18

9 votes

Accepted

Normal subgroups of $SL_2$ of a polynomial ring

answered Nov 29, 2012 at 20:07

9 votes

Bruhat order and the Robinson-Schensted correspondence

answered Jul 14, 2012 at 20:39

9 votes

German term for "restricted Lie algebra" ?

answered Jul 31, 2012 at 15:12

9 votes

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The anticanonical bundle on a flag variety is ample

answered Jun 12, 2012 at 13:33

9 votes

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Proof for which primes H*G has torsion

answered Jun 14, 2012 at 12:34

9 votes

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Weyl modules and reduction modulo $p$.

answered Jun 19, 2012 at 15:18

9 votes

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Is $SL_2(q)$ isomorphic to $PGL_2(q)$?

answered Jul 10, 2012 at 14:03

9 votes

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Automorphism Group of some Classical groups

answered Mar 11, 2011 at 16:43

9 votes

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

answered Mar 1, 2011 at 23:52

9 votes

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Automorphisms of $SL_n(\mathbb{Z})$

answered Mar 3, 2011 at 15:07

9 votes

Diagonalizable subgroups of a connected linear algebraic group

answered Apr 6, 2011 at 11:16

9 votes

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Is it true that no one-dimensional group variety acts transitively on $\mathbb{P}^1$?

answered Mar 24, 2011 at 1:03

9 votes

Decomposing tensor products of irreducible representations of reductive groups over a finite field

answered Mar 16, 2011 at 13:35

9 votes

Reference request: representation of type G2 Lie algebras.

answered Oct 19, 2011 at 0:10

9 votes

Literature on the Springer resolution

answered Jun 13, 2011 at 11:00

9 votes

Number of triples of roots (of a simply-laced root system) which sum to zero

answered May 28, 2011 at 19:20

9 votes

commuting elements in a reductive group

answered May 25, 2012 at 16:55

9 votes

What is the name for a finite-group representation that is the sum of all the irreducibles (once)?

answered Feb 8, 2012 at 19:39

9 votes

Simply connectedness of algebraic group

answered Mar 25, 2010 at 14:33

9 votes

Geometric interpretation of $BN$-pairs

answered Feb 20, 2011 at 20:04

9 votes

Density question in algebraic group

answered Feb 21, 2011 at 20:02

9 votes

Describing Levi factors and unipotent radicals of parabolic subgroups in classical groups

answered Jan 26, 2016 at 20:21

9 votes

Accepted

Does the classification of reductive groups follow from that of semisimple groups?

answered Dec 14, 2016 at 21:12

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704 Answers

Etymology of cuspidal representations

Why people usually consider reductive groups in GIT?

Maximal Submodule of a Verma Module

Can one show the equivalence of the abstract and classical Jordan decompositions for simple Lie algebras without complete reducibility?

Embedding linear algebraic groups of a given dimension into a fixed $\mathrm{GL}_N$

Representations of complex semi-simple algebraic group "defined over $\mathbf{Z}$"?

Confusing Point in Proof: Semisimple Automorphism Fixes Torus

Normal subgroups of $SL_2$ of a polynomial ring

Bruhat order and the Robinson-Schensted correspondence

German term for "restricted Lie algebra" ?

The anticanonical bundle on a flag variety is ample

Proof for which primes H*G has torsion

Weyl modules and reduction modulo $p$.

Is $SL_2(q)$ isomorphic to $PGL_2(q)$?

Automorphism Group of some Classical groups

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

Automorphisms of $SL_n(\mathbb{Z})$

Diagonalizable subgroups of a connected linear algebraic group

Is it true that no one-dimensional group variety acts transitively on $\mathbb{P}^1$?

Decomposing tensor products of irreducible representations of reductive groups over a finite field

Reference request: representation of type G2 Lie algebras.

Literature on the Springer resolution

Number of triples of roots (of a simply-laced root system) which sum to zero

commuting elements in a reductive group

What is the name for a finite-group representation that is the sum of all the irreducibles (once)?

Simply connectedness of algebraic group

Geometric interpretation of $BN$-pairs

Density question in algebraic group

Describing Levi factors and unipotent radicals of parabolic subgroups in classical groups

Does the classification of reductive groups follow from that of semisimple groups?