3,310 reputation
1715
bio website
location
age
visits member for 3 years, 3 months
seen 12 hours ago

I study representation theory, mathematical physics.


Jul
19
comment Dimension of a weight space which is of weight $0$.
@JyrkiLahtonen, thank you very much. I edited the post. Let $V$ be a highest weight module of a Lie algebra $\mathfrak{g}$ with the highest weight $0$. Is it true that $\dim V = 1$?
Jul
19
revised Dimension of a weight space which is of weight $0$.
added 141 characters in body
Jul
18
comment Dimension of a weight space which is of weight $0$.
@mt_, what assumptions do we need ($V$ is finite dimensional?)? Thank you very much.
Jul
18
asked Dimension of a weight space which is of weight $0$.
Jul
18
revised How to compute $\lambda(h_i)$?
added 125 characters in body
Jul
17
asked How to compute $\lambda(h_i)$?
Jul
17
asked Is $U/U(w) = U \cap w U^- w^{-1}$?
Jul
16
accepted Solve a system of equations.
Jul
16
revised Factorization of parabolic subgroups.
added 447 characters in body
Jul
14
asked What are the elements in $U/U(w)$?
Jul
14
revised Factorization of parabolic subgroups.
deleted 11 characters in body; edited title
Jul
12
accepted How to compute $U \cap wUw^{-1}$?
Jul
10
asked How to compute $U \cap wUw^{-1}$?
Jul
10
comment Factorization of parabolic subgroups.
@Shaun, I don't understand much about $U_P$ and $L_P$. For example, let $$ P = \left( \begin{matrix} * & * & 0 & 0 \\ * & * & 0 & 0 \\ * & * & * & * \\ * & * & * & * \end{matrix} \right) $$. What is $U_P$ and $L_P$? Thank you very much.
Jul
10
asked Factorization of parabolic subgroups.
Jul
10
revised Solve a system of equations.
added 101 characters in body
Jul
10
answered Solve a system of equations.
Jul
8
asked Solve a system of equations.
Jul
6
reviewed Approve suggested edit on $2^{1/4} \times 4^{1/8} \times 8^{1/16} \times 16^{1/32} \times \ldots\to2$
Jul
6
revised Why $\rho(t)^{-1}(H-\frac{\partial}{\partial h_{\rho^{\vee}}}) \rho(t) = H - \frac{1}{2}(\rho^{\vee}, \rho^{\vee})$?
added 317 characters in body