List questions from representation-theory

Published on 25 Mar 2026 - 9:24

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What is a primitive character of a Galois groups of a finite cyclic extension of local fields?

Published on 25 Mar 2026 - 4:43

289

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Computing invariant subspace of matrix group algorithmically

Published on 27 Mar 2026 - 18:07

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Some questions about radical of modules

Published on 06 Oct 2018 - 2:22

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Which subalgebras $A$ of the matrix algebra $M_n(\mathbb{R})$ satisfy $C(C(A)) = A$?

Published on 06 Oct 2018 - 5:09

26

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construction of a new character by conjugating another character

Published on 25 Mar 2026 - 3:02

152

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The character group is an algebraic group.

Published on 25 Mar 2026 - 6:10

230

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Higher dimensional real matrix representation of imaginary unit?

Published on 07 Oct 2018 - 20:39

44

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If $\alpha\colon T\to\mathbb{G}_m$ is a root, does $\alpha(t)$ range over $\mathbb{G}_m$ as $t$ ranges over $T$?

Published on 25 Mar 2026 - 16:02

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What is $(Hom_{\mathbb{C}}(V,W))^G$

Published on 25 Mar 2026 - 22:10

737

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How to build the character table of $D_{2n}$ where $n$ is even?

Published on 10 Oct 2018 - 23:01

205

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Is $Hom_R(k^2,k^2)=k$?

Published on 11 Oct 2018 - 23:07

460

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How to interpret invariant subspaces in the definition of irreducible representation?

Published on 28 Mar 2026 - 2:05

97

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Why $V \setminus W$ orthogonal to $W_⊥$, given vector space $V$ and invariant subvectorspace $W$?

Published on 12 Oct 2018 - 14:15

75

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Examples of modules over a group ring

Published on 13 Oct 2018 - 4:48

List Question

Deriving the projection onto the isotypic component

What is a primitive character of a Galois groups of a finite cyclic extension of local fields?

Computing invariant subspace of matrix group algorithmically

Some questions about radical of modules

Which subalgebras $A$ of the matrix algebra $M_n(\mathbb{R})$ satisfy $C(C(A)) = A$?

construction of a new character by conjugating another character

The character group is an algebraic group.

Higher dimensional real matrix representation of imaginary unit?

If $\alpha\colon T\to\mathbb{G}_m$ is a root, does $\alpha(t)$ range over $\mathbb{G}_m$ as $t$ ranges over $T$?

What is $(Hom_{\mathbb{C}}(V,W))^G$

How to build the character table of $D_{2n}$ where $n$ is even?

Is $Hom_R(k^2,k^2)=k$?

How to interpret invariant subspaces in the definition of irreducible representation?

Why $V \setminus W$ orthogonal to $W_⊥$, given vector space $V$ and invariant subvectorspace $W$?

Examples of modules over a group ring

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