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38m
revised Why the orbit is of dimension $12$?
deleted 16 characters in body
11h
revised How to show that each tangent vector to $\mathbb{R}^n$ at a point $a$ is of the form $\xi(f) = \sum_{i} c_i \frac{\partial f}{\partial x_i}(a)$?
added 171 characters in body
12h
revised How to show that each tangent vector to $\mathbb{R}^n$ at a point $a$ is of the form $\xi(f) = \sum_{i} c_i \frac{\partial f}{\partial x_i}(a)$?
added 467 characters in body
2d
asked How to show that each tangent vector to $\mathbb{R}^n$ at a point $a$ is of the form $\xi(f) = \sum_{i} c_i \frac{\partial f}{\partial x_i}(a)$?
Apr
19
awarded  Yearling
Apr
18
asked Questions about strata of a variety: the nilpotent cone of $\mathfrak{sl}_2$.
Apr
17
accepted Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?
Apr
15
comment Why the orbit is of dimension $12$?
thank you very much.
Apr
15
comment Why the orbit is of dimension $12$?
thank you very much. I think that for vector spaces we have $\dim V/W = \dim V - \dim W$, where $W$ is a subspace of $V$. But it seems that for groups, we have $[G: H]=|G|/|H|$, where $H$ is a subgroup of $G$.
Apr
14
asked How to compute perverse sheaves?
Apr
14
comment Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?
@JyrkiLahtonen, now I understand. Thank you very much.
Apr
14
comment Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?
@JyrkiLahtonen, thank you very much. Usually, weights are linear combinations of roots. Why $e^{\alpha}$ is also a weight? Here $\alpha$ is a root.
Apr
14
comment Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?
@JyrkiLahtonen, thank you very much. Why elements in $\mathbb{Z}[P]$ is of the form $e^{k \alpha}$? I know that $s_{\alpha_i}$ ($\alpha_i$ is a simple root) is a simple reflection. How do we define $s_{\alpha}$ when $\alpha$ is not a simple root? Why $s_{\alpha} \cdot u = s_{\alpha}(u + \rho) - \rho = e^{-k\alpha}$?
Apr
14
asked Why Demazure operator is an endomorphism of $\mathbb{Z}[P]$?
Apr
14
comment Why the orbit is of dimension $12$?
thank you very much. Why the dimension of the orbit is not $8/2=4$ but $8-2=6$?
Apr
11
accepted Why the orbit is of dimension $12$?
Apr
11
asked Why the orbit is of dimension $12$?
Apr
11
asked How to understand the algebra $U_A(Lg)$?
Apr
10
awarded  Nice Question
Apr
5
revised Question about Poincare duality and homology of a cylinder.
added 1 character in body