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Apr
25
comment Simplicial homotopy's exponential law
Thanks so much for clarifying it!
Apr
25
accepted Simplicial homotopy's exponential law
Apr
25
asked Simplicial homotopy's exponential law
Apr
6
comment Definition of coroots
The definition of $\alpha^{\vee}$ is $\frac{(\alpha,\cdot)}{(\alpha,\alpha)}$.
Mar
25
awarded  Good Answer
Mar
9
comment Is it true that $\pi_n(X^{n-1})=0$ for $n>1$ if $X$ is $K(G,1)$ space?
Thanks for your answer as well as the one posted in the link.
Mar
9
accepted Is it true that $\pi_n(X^{n-1})=0$ for $n>1$ if $X$ is $K(G,1)$ space?
Mar
9
asked Is it true that $\pi_n(X^{n-1})=0$ for $n>1$ if $X$ is $K(G,1)$ space?
Feb
13
comment What are some topics of advanced number theory every young geometers should know? (soft question)
Yes. My PhD subject is non-commutative algebraic geometry, but the field of my interest is rather broader than that. So, I wanted recommendation for general geometers, but then it may be too broad for any suggestion. If my question is not well-posed and therefore doesn't get any answer, I will close it and post a question by trying to make it more well-posed.
Feb
13
asked What are some topics of advanced number theory every young geometers should know? (soft question)
Jan
24
accepted Why is the sign of $L^2$ opposite?
Jan
24
comment Why is the sign of $L^2$ opposite?
Great suggestion. I haven't come up with that idea!
Jan
24
comment Why is the sign of $L^2$ opposite?
I came up with this question, since I thought there would be some convention such that $L^2_x$ is defined as $L^t_xL_x$, which means multiplication of the transposed matrix and the original one. Otherwise the identity doesn't seem to hold. Likewise, if I don't assume the above convention, Casimir element of $\mathcal{so(3)}$ becomes $-\frac{1}{2}(L^2_x+L^2_y+L^2_z)$, which has an incorrect sign.
Jan
24
asked Why is the sign of $L^2$ opposite?
Jan
23
comment Fubini's theorem for finite dimensional vector space?
I didn't think that Haar measure would do the job in that way. Thanks a lot!
Jan
22
comment Fubini's theorem for finite dimensional vector space?
I'm sorry. I was considering about a Haar measure on $F^n$. It is nice that the standard isomorphism is measure-preserving. While it sounds obvious, I couldn't find it in my textbook. Thank you!
Jan
22
asked Fubini's theorem for finite dimensional vector space?
Jan
14
comment Calculation of commutator of Lie algebra for affine linear maps
It worked pretty good!
Jan
14
comment Calculation of commutator of Lie algebra for affine linear maps
That makes sense! Thanks a lot.
Jan
14
asked Calculation of commutator of Lie algebra for affine linear maps