User Jim Humphreys

5 votes

In any Lie group with finitely many connected components, does there exist a finite subgroup which meets every component?

answered Dec 6, 2013 at 14:44

5 votes

What is a good introduction to branching rules in representation theory?

answered Nov 14, 2013 at 23:44

5 votes

Automorphism group of flag manifolds?

answered Mar 14, 2014 at 22:41

5 votes

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Eigenvalues for elements of (infinite) Coxeter groups

answered Jun 21, 2013 at 18:55

5 votes

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Extension of the Weyl dimension formula

answered Aug 14, 2013 at 15:41

5 votes

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Representation theory, classical Lie algebra, D_{n}

answered Sep 14, 2013 at 22:41

5 votes

The Representation of $\mathrm{Sp}_{2n}$ of Dimension $2^n$ in characteristic 2

answered Sep 28, 2013 at 16:54

5 votes

Decomposition of $SU(3)$ representation $6\times 15$ into irreducibles?

answered Oct 29, 2013 at 15:36

5 votes

Accepted

Bruhat decomposition for reductive groups in characteristic zero?

answered Oct 31, 2013 at 22:59

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ULU Decomposition of a matrix

answered Dec 19, 2014 at 15:36

5 votes

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Closure order on nilpotent orbits in exceptional Lie algebras

answered Jan 7, 2015 at 17:43

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highest weight representations inside tensor product

answered Jan 12, 2015 at 18:21

5 votes

Connected unipotent algebraic groups

answered Dec 4, 2014 at 14:17

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Representations of the two dimensional non-abelian Lie algebra

answered Oct 20, 2014 at 12:56

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Restriction of scalars for the adjoint representation of $SL_2(\mathbb F_q)$

answered Nov 7, 2014 at 21:02

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Extension of the Jacobi triple product identity

answered Apr 22, 2013 at 23:14

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The Jantzen-Schaper theorem

answered May 15, 2013 at 23:17

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Weyl group of the restriction of scalars of split reductive group

answered May 1, 2013 at 19:18

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Relating two characterizations of ${\mathfrak sl}_{n > 2}$ among simple Lie algebras

answered May 7, 2013 at 13:02

5 votes

expository papers related to quantum groups

answered Jan 5, 2013 at 23:44

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Good book on representation theory of GL(n)

answered Jan 11, 2013 at 20:31

5 votes

One more question about PBW

answered Nov 28, 2012 at 15:52

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Origin of the theorem on the existence of the smallest field of definition of an affine variety

answered Oct 29, 2012 at 0:04

5 votes

References request on the algebraic geometry of projective homogeneous spaces

answered Oct 11, 2012 at 18:32

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

answered Aug 28, 2012 at 23:17

5 votes

Mostow's theorem on algebraic groups

answered Sep 19, 2012 at 23:15

5 votes

Regular elements in the torus of a group of Lie type

answered Sep 19, 2012 at 23:42

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Decomposition of Matrices in Semisimple and Nilpotent Parts

answered Sep 30, 2012 at 15:38

5 votes

Finite groups such that every irrep can be induced from trivial irrep of a subgroup ?

answered Aug 26, 2012 at 22:30

5 votes

Other than SU(3), SO(4), SU(2)xU(1), are there compact semisimple Lie groups which exactly two 3-dimensional representations that are dual to each other?

answered Jul 6, 2012 at 13:51

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704 Answers

In any Lie group with finitely many connected components, does there exist a finite subgroup which meets every component?

What is a good introduction to branching rules in representation theory?

Automorphism group of flag manifolds?

Eigenvalues for elements of (infinite) Coxeter groups

Extension of the Weyl dimension formula

Representation theory, classical Lie algebra, D_{n}

The Representation of $\mathrm{Sp}_{2n}$ of Dimension $2^n$ in characteristic 2

Decomposition of $SU(3)$ representation $6\times 15$ into irreducibles?

Bruhat decomposition for reductive groups in characteristic zero?

ULU Decomposition of a matrix

Closure order on nilpotent orbits in exceptional Lie algebras

highest weight representations inside tensor product

Connected unipotent algebraic groups

Representations of the two dimensional non-abelian Lie algebra

Restriction of scalars for the adjoint representation of $SL_2(\mathbb F_q)$

Extension of the Jacobi triple product identity

The Jantzen-Schaper theorem

Weyl group of the restriction of scalars of split reductive group

Relating two characterizations of ${\mathfrak sl}_{n > 2}$ among simple Lie algebras

expository papers related to quantum groups

Good book on representation theory of GL(n)

One more question about PBW

Origin of the theorem on the existence of the smallest field of definition of an affine variety

References request on the algebraic geometry of projective homogeneous spaces

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

Mostow's theorem on algebraic groups

Regular elements in the torus of a group of Lie type

Decomposition of Matrices in Semisimple and Nilpotent Parts

Finite groups such that every irrep can be induced from trivial irrep of a subgroup ?

Other than SU(3), SO(4), SU(2)xU(1), are there compact semisimple Lie groups which exactly two 3-dimensional representations that are dual to each other?