List questions from representation-theory

Published on 12 Apr 2019 - 20:44

79

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Isomorphic representations have equal characters

Published on 25 Mar 2026 - 16:05

84

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Computing Ext functor when no projective modules are known.

Published on 25 Mar 2026 - 15:54

385

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Prove that representations of connected matrix Lie groups are equivalent iff their associated Lie algebra representations are

Published on 29 Mar 2026 - 19:11

235

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Characters of the fundamental representations of $SU(3)$

Published on 25 Mar 2026 - 14:25

657

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The difference between permutation representation and standard representation of symmetric group $S_3$

Published on 26 Mar 2026 - 17:46

87

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Application of Maschke's Theorem to $S_4$

Published on 14 Apr 2019 - 16:54

49

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Simple Lie algebra representations and tensor powers of fundamental representations

Published on 25 Mar 2026 - 17:37

279

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Left action of a group on permutation representation

Published on 26 Mar 2026 - 22:52

102

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Local Representation Theory Alperin Ex 1.4.

Published on 15 Apr 2019 - 14:51

2.1k

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adjoint representation is irreducible iff $\mathfrak{g}$ is simple

Published on 29 Mar 2026 - 19:10

114

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Adjoint representation of $\mathfrak{b}_2$ is undecomposable

Published on 29 Mar 2026 - 19:10

536

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Is the Unitary Group of a Hilbert Space a Lie group?

Published on 27 Mar 2026 - 15:19

408

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$K$-finite vectors are smooth: existence of $K$-finite approximations of the identity

Published on 30 Mar 2026 - 10:13

74

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How would one classify point groups?

Published on 27 Mar 2026 - 12:06

List Question

Group Cohomology versus Simplicial Cohomology

Isomorphic representations have equal characters

Computing Ext functor when no projective modules are known.

Prove that representations of connected matrix Lie groups are equivalent iff their associated Lie algebra representations are

Characters of the fundamental representations of $SU(3)$

The difference between permutation representation and standard representation of symmetric group $S_3$

Application of Maschke's Theorem to $S_4$

Simple Lie algebra representations and tensor powers of fundamental representations

Left action of a group on permutation representation

Local Representation Theory Alperin Ex 1.4.

adjoint representation is irreducible iff $\mathfrak{g}$ is simple

Adjoint representation of $\mathfrak{b}_2$ is undecomposable

Is the Unitary Group of a Hilbert Space a Lie group?

$K$-finite vectors are smooth: existence of $K$-finite approximations of the identity

How would one classify point groups?

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