1,347 reputation
412
bio website
location
age
visits member for 2 years, 7 months
seen Oct 30 at 18:56

A mathematician!


Sep
30
awarded  Explainer
Sep
24
awarded  Autobiographer
Jul
22
comment Irreducible action of a group on a set
$\mathbb{F}^2_p$ is not just a set. it is a vector space. In this case, it usually means it must not have nontrivial invariant subspace.
Jul
21
revised Problem with finding a suitable partition of unity
added 533 characters in body
Jul
21
comment Tensor product of duals
$V $ is finite dimensional, isn't it?
Jul
21
comment Tensor product of duals
If $V,W$ are vector spaces on some field $F$, it is easy. Assume $V\simeq F^n$. Use the notation $Hom(V\otimes W, F)$ for $(V\otimes W)^\ast$. Then $Hom(V\otimes W, F) \simeq Hom(V, Hom(W,F)) \simeq V\otimes Hom(W,F) \simeq V^*\otimes W^*$.
Jul
21
comment Problem with finding a suitable partition of unity
It follows from your assumption that $x\in U_s$ implies that $x+1, x-1\in U_s$, and more generally $x+n, x-n\in U_s$ for all $n\in \mathbb{N}$.
Jul
21
comment Tensor product of duals
Since they are finite dimensional and they have the same dimension, as soon as you find an injection, it is clear that it is surjective as well.
Jul
21
comment Problem with finding a suitable partition of unity
At first, I didn't pay attention to the requirement that $\phi_i$ should be periodic. But I think the current version is fine.
Jul
21
revised Problem with finding a suitable partition of unity
corrected
Jul
21
answered Problem with finding a suitable partition of unity
Jul
20
answered Should I read about Manifolds or Algebraic Topology?
Jul
20
comment Finding a lie group structure on $\mathbb R^n\setminus\{0\}$
The title of your question is misleading.
Jul
11
comment Understanding mathematical texts
As a practical and yet general suggestion, I think you should consult with the instructor of the course or you can ask questions about any specific subject here in math SE.
Jul
11
comment Understanding mathematical texts
I have never heard of a personal subjective motivation for a mathematical work. In fact, when a mathematicians tries to present his/her work to the public, the first step is to justify the importance of the idea and the work has been done. I call this justification the motivation of a mathematical piece which certainly should be objective. Also I should say that my answer is a very brief suggestion for starting to understand a subject (through understanding the basic ideas of the subject) and it is very different than mastering a subject.
Jul
11
comment Understanding mathematical texts
Also I think if a mathematical idea is relatively new, say born in the last 50 years, then the history of the problem is way more important. Because sometimes old ideas evolve into a very different creature than what they have been at the beginning and if you want to understand the current status of an idea considering only the history of the problem might be misleading.
Jul
11
comment Understanding mathematical texts
Historical considerations are important and reveal some aspects of a mathematical idea. But more generally I'd like to emphasis on the context in which a mathematical idea is introduced and in which it develops and how the idea is related to other ideas.
Jul
11
answered Understanding mathematical texts
May
25
awarded  Yearling
May
13
answered Covolution (space) over compact Lie groups