List questions from irreducible-representation

Published on 21 Feb 2024 - 20:37

58

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Verifying that a vector is a highest weight vector

Published on 23 Feb 2024 - 16:01

45

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Properties of converging succession of functionals

Published on 24 Feb 2024 - 8:39

42

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About two Standard Representations of S3

Published on 04 Mar 2024 - 1:09

92

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does there exist $T\in GL(n,\mathbb{C})$ so that $\sigma(g) = T^{-1} \rho(g)T$ for all $g\in G$?

Published on 04 Mar 2024 - 4:47

56

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When is the isotypical decomposition of a representation not unique?

Published on 17 Mar 2024 - 10:42

44

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is it true that a certain induction of an H-irrep $\psi$ is irreducible iff there's a G-conjugacy class on which $\chi_\psi$ is nonconstant

Published on 24 Mar 2024 - 5:10

37

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Tensor product of two representations of $D_4$

Published on 20 May 2022 - 13:14

200

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Unique irreducible complex representation of Clifford algebra implies isomorphism with matrix algebra

Published on 10 Jun 2022 - 8:33

61

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Decomposition of the representation generated by words with m copies of n letters

Published on 12 Jun 2022 - 19:08

70

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Non atomic ring example

Published on 28 Jun 2022 - 22:17

45

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Group algebra, cyclic group, ring isomorphism

Published on 01 Jul 2022 - 11:50

37

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A question related to the spectrum of Gelfand-Tsetlin Algebra

Published on 09 Jul 2022 - 15:24

103

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How to complete this proof of the Schur-Weyl duality theorem using commutants?

Published on 15 Jul 2022 - 7:32

97

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Irreducible representations of $\operatorname{SO}(3)$ from $\operatorname{SU}(2)$

Published on 31 Jul 2022 - 22:07

List Question

Character table of S4

Verifying that a vector is a highest weight vector

Properties of converging succession of functionals

About two Standard Representations of S3

does there exist $T\in GL(n,\mathbb{C})$ so that $\sigma(g) = T^{-1} \rho(g)T$ for all $g\in G$?

When is the isotypical decomposition of a representation not unique?

is it true that a certain induction of an H-irrep $\psi$ is irreducible iff there's a G-conjugacy class on which $\chi_\psi$ is nonconstant

Tensor product of two representations of $D_4$

Unique irreducible complex representation of Clifford algebra implies isomorphism with matrix algebra

Decomposition of the representation generated by words with m copies of n letters

Non atomic ring example

Group algebra, cyclic group, ring isomorphism

A question related to the spectrum of Gelfand-Tsetlin Algebra

How to complete this proof of the Schur-Weyl duality theorem using commutants?

Irreducible representations of $\operatorname{SO}(3)$ from $\operatorname{SU}(2)$

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