MPB94

# 45 Questions

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### Why is $\operatorname{Tr}([A,B]^{m}) = \operatorname{Tr}([AB, [A,B]^{m-1}])$, if [A,[A,B]]=0$? 2 votes 1 answer 82 views ### Bootstraplemma 7.9 in Bredon 1 2 votes 1 answer 32 views ### Stuck with showing for$x \in \mathbb{Z}_p$,$\sum_{n=1}^{\infty} \frac{x(x-1) \ldots (x-n+1)}{n!}$converges in$\mathbb{Z}_p$. 2 votes 0 answers 58 views ### Let$f:X \to Y$be a quotient map and$X$and$Y$hausdorff spaces, where$X$is compactly generated. Why is$Y$then compactly generated? Nov 29 '17 at 15:45 Niels J. Diepeveen 5,945 1 2 votes 1 answer 626 views ### Ideal class group of$\mathbb{Q} ( \sqrt{-23} ) $is$\cong \mathbb{Z}/3$by Minkowski bound. 2 votes 1 answer 47 views ### Examples of$\mathbb{Z} / m $- modules 2 votes 1 answer 84 views ### looking for examples for actions of the cyclic group$Z/m$on abelian groups 1 2 votes 2 answers 62 views ### Let$w_1, \ldots, w_n$be left invariant$1$-forms on a Lie group$G$. Why is$w = w_1 \wedge \ldots \wedge w_n $left-invariant? 2 votes 0 answers 30 views ### Let a compact group$G$act on a manifold$M$. Why does G act as a group of automorphisms on$H^p (M, \mathbb{R} )?

Jun 29 '17 at 23:08 MPB94 270

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### How to deduce the singular chain complex and the homology for finite spaces?

Dec 19 '16 at 14:42 MPB94 270

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### orthogonality relation for characters

Jan 8 at 18:51 MPB94 270

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### Fourier inversion formula and Plancherel formula for finite groups

Jan 5 at 22:36 Bernard 126k

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### Let be $\pi : U(2) \to \mathbb{S^3}$ the fibre bundle, defined by $A = (a , b ) \mapsto b$. Does it have a section?

Nov 18 '17 at 22:47 MPB94 270

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