Question

Why is it that $\det(\phi-x\text{id})=\sum_{i=0}^n (-1)^ic_ix^i$?

score 580 · Answer 1 · 2026-03-30 00:24:31

580

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Why is it that $\det(\phi-x\text{id})=\sum_{i=0}^n (-1)^ic_ix^i$?

Published on 30 Mar 2026 - 0:24

score 134 · Answer 2 · 2012-03-25 20:50:53

134

Views

How can one see that $\operatorname{tr}(f\otimes g)=\operatorname{tr}f\operatorname{ tr }g$?

Published on 25 Mar 2012 - 20:50

score 856 · Answer 3 · 2012-03-29 14:03:35

856

Views

Tensors as linear combinations of pure tensors.

Published on 29 Mar 2012 - 14:03

score 167 · Answer 4 · 2012-03-31 17:34:09

167

Views

A system of three nonlinear equations

Published on 31 Mar 2012 - 17:34

score 674 · Answer 5 · 2026-03-30 00:21:18

674

Views

Basis of the symmetric algebra $S(M)$ given $R$-module basis of $M$ using the diamond lemma?

Published on 30 Mar 2026 - 0:21

score 5.3k · Answer 6 · 2012-04-05 04:59:28

5.3k

Views

Condition for a tensor to be decomposable

Published on 05 Apr 2012 - 4:59

score 284 · Answer 7 · 2026-03-25 21:49:59

284

Views

Exercise at the Beginning of Part II in Fulton's Book on Young Tableaux

Published on 25 Mar 2026 - 21:49

score 157 · Answer 8 · 2026-03-27 01:50:41

157

Views

Subset of differential operators is a finitely generated module?

Published on 27 Mar 2026 - 1:50

score 444 · Answer 9 · 2026-03-30 00:24:35

444

Views

Exterior Algebra of Self-Direct Sum

Published on 30 Mar 2026 - 0:24

score 129 · Answer 10 · 2012-04-13 08:01:23

129

Views

Homomorphism $W(V)\to\operatorname{End}_k(R)$ is not injective when $\operatorname{char}(k)=p>0$?

Published on 13 Apr 2012 - 8:01

score 177 · Answer 11 · 2012-04-14 01:47:14

177

Views

Question regarding Tensor product

Published on 14 Apr 2012 - 1:47

score 408 · Answer 12 · 2012-04-14 06:17:04

408

Views

Why is the following map an isomorphism between $Cl(V,\omega)$ and $\operatorname{End}(\Lambda(V))$?

Published on 14 Apr 2012 - 6:17

score 3.8k · Answer 13 · 2012-04-14 22:39:22

3.8k

Views

Proving that the coefficients of the characteristic polynomial are the traces of the exterior powers

Published on 14 Apr 2012 - 22:39

score 1.5k · Answer 14 · 2012-04-17 14:14:11

1.5k

Views

An Expression for the Wedge Product

Published on 17 Apr 2012 - 14:14

score 1k · Answer 15 · 2012-04-18 14:15:36

1k

Views

Levi-Civita Symbol and index manipulation

Published on 18 Apr 2012 - 14:15

List Question

Why is it that $\det(\phi-x\text{id})=\sum_{i=0}^n (-1)^ic_ix^i$?

How can one see that $\operatorname{tr}(f\otimes g)=\operatorname{tr}f\operatorname{ tr }g$?

Tensors as linear combinations of pure tensors.

A system of three nonlinear equations

Basis of the symmetric algebra $S(M)$ given $R$-module basis of $M$ using the diamond lemma?

Condition for a tensor to be decomposable

Exercise at the Beginning of Part II in Fulton's Book on Young Tableaux

Subset of differential operators is a finitely generated module?

Exterior Algebra of Self-Direct Sum

Homomorphism $W(V)\to\operatorname{End}_k(R)$ is not injective when $\operatorname{char}(k)=p>0$?

Question regarding Tensor product

Why is the following map an isomorphism between $Cl(V,\omega)$ and $\operatorname{End}(\Lambda(V))$?

Proving that the coefficients of the characteristic polynomial are the traces of the exterior powers

An Expression for the Wedge Product

Levi-Civita Symbol and index manipulation

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