rafaelm

Zagreb, Croatia

Apr
19
awarded Nice Answer
Mar
6
awarded Tumbleweed
Mar
4
revised Sections of inverse image sheaf of sheaf of sections of vector bundle
added 8 characters in body
Mar
4
asked Sections of inverse image sheaf of sheaf of sections of vector bundle
Feb
28
revised Sections of inverse image sheaf of sheaf of sections of vector bundle
edited body
Feb
27
asked Sections of inverse image sheaf of sheaf of sections of vector bundle
Dec
8
awarded Caucus
Nov
14
answered Action on sheaf cohomology in Bott-Borel-Weil theorem
Nov
11
comment Action on sheaf cohomology in Bott-Borel-Weil theorem
Sure, I'll write here when/if I figure out.
Nov
11
comment Action on sheaf cohomology in Bott-Borel-Weil theorem
It seems that Grothendieck's Tohoku has a chapter on G-sheaves and their equivariant cohomology.
Nov
11
comment Action on sheaf cohomology in Bott-Borel-Weil theorem
Thank you very much for your effort. I will try to write down the details.
Nov
10
asked Action on sheaf cohomology in Bott-Borel-Weil theorem
Oct
8
comment Does this representation have a name?
Left regular representation. See en.wikipedia.org/wiki/Regular_representation
Jul
2
awarded Curious
Jun
30
comment Is it true if $[LL] = L$ then $L$ is a semisimple Lie algebra?
No. Same question has been asked on MathOverflow: mathoverflow.net/questions/60498/lie-algebra-semisimple
Apr
16
accepted Action of $SO_n$ on $\mathbb{S}^{n-1}$ induces fibre bundle.
Apr
15
comment Action of $SO_n$ on $\mathbb{S}^{n-1}$ induces fibre bundle.
Please don't delete your answer, because someday I might be able to fill all the details myself.
Apr
13
comment Action of $SO_n$ on $\mathbb{S}^{n-1}$ induces fibre bundle.
Could you please provide reference for the fact that compact Lie group and closed subgroup induce principal bundle?
Apr
13
comment Action of $SO_n$ on $\mathbb{S}^{n-1}$ induces fibre bundle.
And I couldn't figure out how to connect story from last paragraph with my desired trivializations. How can I write $\alpha^+(A) = (A e_n,$ some $SO_{n-1}$ matrix$)$?
Apr
13
comment Action of $SO_n$ on $\mathbb{S}^{n-1}$ induces fibre bundle.
Moreover, I don't see how is $p^{-1}(U^\pm)$ identified via $\Pi^\pm$, and how is $(\Sigma^\pm(x),e_1,\ldots,e_n)$ its orthonormal frame. How to think about $p^{-1}(U^+)$, besides matrices which don't have $e_n$ as fixed point?
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