List questions from representation-theory

Published on 04 May 2018 - 6:36

67

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Semisimple modules

Published on 04 May 2018 - 14:15

1k

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Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

Published on 04 May 2018 - 20:09

326

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The induced representation of a trivial representation

Published on 22 Mar 2026 - 18:53

503

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What property of the root system means a Lie algebra has complex structure?

Published on 25 Mar 2026 - 6:21

530

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How does knowing that $\sqrt{7}\notin\mathbb{Q}(e^{2\pi i/7})$ help construct this character table?

Published on 17 Mar 2026 - 8:02

972

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Defining Groups via the Universal Property

Published on 25 Mar 2026 - 1:15

524

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Is a Finite Dimensional Semi-simple module a sum of its composition factors?

Published on 06 May 2018 - 12:43

301

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What is the relation between crystals and crystal bases?

Published on 20 Mar 2026 - 7:16

133

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Clifford algebras of even rank, unique irrep.

Published on 25 Mar 2026 - 21:35

49

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Trivial induced representation and the Frobenius Character

Published on 19 Mar 2026 - 23:08

60

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Using the Murnaghan-Nakayama rule

Published on 24 Mar 2026 - 23:42

64

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Existence of conductor for admissible representations of $GL_2(\mathbb{Q}_p)$

Published on 25 Mar 2026 - 9:43

58

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Symmetry adapted basis from the book "Group Theoretical Methods and Their Applications"

Published on 08 May 2018 - 9:09

311

Views

Proving isomorphism between the symmetric algebra $\mathfrak{S}$ and the associated graded algebra $\mathfrak{G}$

Published on 08 May 2018 - 23:46

List Question

When is the category of representations compact?

Semisimple modules

Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

The induced representation of a trivial representation

What property of the root system means a Lie algebra has complex structure?

How does knowing that $\sqrt{7}\notin\mathbb{Q}(e^{2\pi i/7})$ help construct this character table?

Defining Groups via the Universal Property

Is a Finite Dimensional Semi-simple module a sum of its composition factors?

What is the relation between crystals and crystal bases?

Clifford algebras of even rank, unique irrep.

Trivial induced representation and the Frobenius Character

Using the Murnaghan-Nakayama rule

Existence of conductor for admissible representations of $GL_2(\mathbb{Q}_p)$

Symmetry adapted basis from the book "Group Theoretical Methods and Their Applications"

Proving isomorphism between the symmetric algebra $\mathfrak{S}$ and the associated graded algebra $\mathfrak{G}$

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