Question

Eigenvalues of non-diagonalizable representations of a group acting on $V^\otimes V$, $\text{Sym}^k V$, $\bigwedge^k V$, etc. (Fulton & Harris)

score 132 · Answer 1 · 2022-05-22 20:28:36

132

Views

Eigenvalues of non-diagonalizable representations of a group acting on $V^\otimes V$, $\text{Sym}^k V$, $\bigwedge^k V$, etc. (Fulton & Harris)

Published on 22 May 2022 - 20:28

score 70 · Answer 2 · 2026-02-24 09:20:48

70

Views

I get $d\phi^*\alpha = 0$ for any $1$-form $\alpha$ on $\mathbb{R}^2$. This cannot be correct.

Published on 24 Feb 2026 - 9:20

score 120 · Answer 3 · 2022-05-29 08:26:15

120

Views

Formula for $k$-form

Published on 29 May 2022 - 8:26

score 87 · Answer 4 · 2026-02-23 18:40:11

87

Views

What does the Poisson bracket actually mean?

Published on 23 Feb 2026 - 18:40

score 61 · Answer 5 · 2022-06-01 15:56:46

61

Views

Necessary and sufficient conditions for $\alpha \wedge \beta = 0$

Published on 01 Jun 2022 - 15:56

score 45 · Answer 6 · 2026-02-23 18:44:38

45

Views

How to solve $\text{d}B = A\land \text{d}A$ where $A$ and $B$ are differential forms?

Published on 23 Feb 2026 - 18:44

score 103 · Answer 7 · 2022-06-18 00:22:05

103

Views

When writing p-forms and p-vectors, is the increasing index values restriction $\vert i,j,\dots,k\vert$ equivalent to "unique sets" of index values?

Published on 18 Jun 2022 - 0:22

score 279 · Answer 8 · 2022-06-22 11:45:15

279

Views

$m$-th wedge product of a differential $n$-form with itself?

Published on 22 Jun 2022 - 11:45

score 1.5k · Answer 9 · 2026-03-26 21:27:08

1.5k

Views

What is the difference between Projective Geometric, Clifford Algebra, Grassman Algebra, Geometric Algebra, Quaternion Algebra and Exterior Algebra?

Published on 26 Mar 2026 - 21:27

score 175 · Answer 10 · 2022-06-25 08:07:50

175

Views

Is this formula for interior product correct?

Published on 25 Jun 2022 - 8:07

score 108 · Answer 11 · 2022-06-27 06:15:41

108

Views

A result about determinants in exterior algebra

Published on 27 Jun 2022 - 6:15

score 63 · Answer 12 · 2022-07-01 10:18:17

63

Views

Co-norm of the wedge product of a matrix

Published on 01 Jul 2022 - 10:18

score 159 · Answer 13 · 2026-02-23 12:18:53

159

Views

Are all $v \in \Lambda ^k V$ decomposable if $k > \frac{1}{2} \dim V$?

Published on 23 Feb 2026 - 12:18

score 185 · Answer 14 · 2022-07-09 13:49:29

185

Views

Hodge star - Duality: Why is $\star{\star\alpha}=\pm\alpha$?

Published on 09 Jul 2022 - 13:49

score 118 · Answer 15 · 2022-07-10 19:01:02

118

Views

Bivectors - Interpretation of the angle defined by the inner product

Published on 10 Jul 2022 - 19:01

List Question

Eigenvalues of non-diagonalizable representations of a group acting on $V^\otimes V$, $\text{Sym}^k V$, $\bigwedge^k V$, etc. (Fulton & Harris)

I get $d\phi^*\alpha = 0$ for any $1$-form $\alpha$ on $\mathbb{R}^2$. This cannot be correct.

Formula for $k$-form

What does the Poisson bracket actually mean?

Necessary and sufficient conditions for $\alpha \wedge \beta = 0$

How to solve $\text{d}B = A\land \text{d}A$ where $A$ and $B$ are differential forms?

When writing p-forms and p-vectors, is the increasing index values restriction $\vert i,j,\dots,k\vert$ equivalent to "unique sets" of index values?

$m$-th wedge product of a differential $n$-form with itself?

What is the difference between Projective Geometric, Clifford Algebra, Grassman Algebra, Geometric Algebra, Quaternion Algebra and Exterior Algebra?

Is this formula for interior product correct?

A result about determinants in exterior algebra

Co-norm of the wedge product of a matrix

Are all $v \in \Lambda ^k V$ decomposable if $k > \frac{1}{2} \dim V$?

Hodge star - Duality: Why is $\star{\star\alpha}=\pm\alpha$?

Bivectors - Interpretation of the angle defined by the inner product

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