List questions from irreducible-representation

Published on 21 Mar 2026 - 2:42

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Verifying that a vector is a highest weight vector

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46

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Properties of converging succession of functionals

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43

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About two Standard Representations of S3

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

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57

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When is the isotypical decomposition of a representation not unique?

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45

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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

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40

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Tensor product of two representations of $D_4$

Published on 12 Apr 2026 - 20:51

201

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

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62

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

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71

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Non atomic ring example

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46

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Group algebra, cyclic group, ring isomorphism

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38

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A question related to the spectrum of Gelfand-Tsetlin Algebra

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104

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

Published on 21 Mar 2026 - 2:42

98

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

Published on 21 Mar 2026 - 2:42

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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