List questions from general-linear-group

Published on 08 Mar 2023 - 6:30

58

Views

Generating set of General linear group

Published on 11 Mar 2023 - 14:23

65

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A non-trivial homomorphism from $SL(2, 7)$ to $GL(4, 11)$.

Published on 19 Mar 2023 - 15:21

165

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$GL_n(C)$ is isomorphic to a lie subgroup of $GL(2n,R)$

Published on 23 Mar 2023 - 15:48

28

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Equation in $GL(2,\mathbb{Z}_{2^{n-1}})$

Published on 27 Mar 2023 - 17:56

139

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Is $GL(n)\otimes GL(n)$ is closed in $GL(n^2)$?

Published on 22 Apr 2023 - 9:05

84

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Let $R$ be a principal ideal domain with field of fractions $K$, then $N_{GL_n(K)}(GL_n(R)) = K^\times GL_n(R)$

Published on 20 May 2023 - 8:20

113

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Principal series representation isomorphism

Published on 25 May 2023 - 15:31

88

Views

Index of an explicit subgroup of $\mathrm{GL}_4(\mathbb{Z})$

Published on 25 Mar 2026 - 0:19

69

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Invertibility of Block Matrix Partial Transpose

Published on 30 May 2023 - 17:31

102

Views

Why $SL$-invariants and highest weight vectors of rectangular shape coincide?

Published on 03 Jun 2023 - 8:14

37

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Representations of general linear Lie algebra vs general linear group

Published on 04 Jul 2023 - 11:57

60

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Linearity of Groups - does it matter which linear groups we consider?

Published on 27 Jul 2023 - 10:35

61

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"Roots" of Unity for the General Linear Group?

Published on 14 Aug 2023 - 2:02

46

Views

Any homomorphism from $GL(n, F)$ to $F$ is composition of $det$ and $F$-endomorphism.

Published on 15 Aug 2023 - 5:28

List Question

No automorphisms of order $p^2$

Generating set of General linear group

A non-trivial homomorphism from $SL(2, 7)$ to $GL(4, 11)$.

$GL_n(C)$ is isomorphic to a lie subgroup of $GL(2n,R)$

Equation in $GL(2,\mathbb{Z}_{2^{n-1}})$

Is $GL(n)\otimes GL(n)$ is closed in $GL(n^2)$?

Let $R$ be a principal ideal domain with field of fractions $K$, then $N_{GL_n(K)}(GL_n(R)) = K^\times GL_n(R)$

Principal series representation isomorphism

Index of an explicit subgroup of $\mathrm{GL}_4(\mathbb{Z})$

Invertibility of Block Matrix Partial Transpose

Why $SL$-invariants and highest weight vectors of rectangular shape coincide?

Representations of general linear Lie algebra vs general linear group

Linearity of Groups - does it matter which linear groups we consider?

"Roots" of Unity for the General Linear Group?

Any homomorphism from $GL(n, F)$ to $F$ is composition of $det$ and $F$-endomorphism.

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