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  • 0 posts edited
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  • 153 votes cast
Aug
23
comment Applications and usefulness of universal enveloping algebra
This is a good answer.
Aug
22
asked Applications and usefulness of universal enveloping algebra
Aug
22
accepted Symmetric power subspace of tensor product
Aug
21
asked Symmetric power subspace of tensor product
Aug
18
revised Lie group representation and inner product
added 2 characters in body
Aug
17
asked Lie group representation and inner product
Aug
15
asked Convex hull of $3$ dimensional set reduced to $2$ dimensional set
Aug
7
comment Tensor product construction in Dummit and Foote
Honestly, I'd just look at Introduction to Commutative Algebra by Atiyah and Macdonald for all you need to know about tensor products of modules. I usually like Dummit and Foote, but their presentation here makes me think they are sadists.
Aug
5
revised Convex hull of curve
added 130 characters in body
Aug
5
asked Convex hull of curve
Jul
15
comment Representation of $sl(2,R)$.
Sort of. The complaint is that I have some calculations involving the orbit of the action of $G=SL(2,\mathbb{R})$ on (a) the highest weight vector or (b) some vector fixed by the max. cpt. subgroup $K=SO(2)$ but I also would like to work at the Lie algebra level.
Jul
15
comment Representation of $sl(2,R)$.
@Aaron I understand that one cannot multiply a $2 \times 2$ matrix by an $n \times n$ matrix. I was just hoping something similar exists.
Jul
15
asked Representation of $sl(2,R)$.
May
4
awarded  Popular Question
Apr
27
awarded  Nice Question
Apr
21
accepted Weights in $\mathfrak{sl}(3,\mathbb{C})$
Apr
19
comment Weights in $\mathfrak{sl}(3,\mathbb{C})$
Isn't the killing form $(A,B) \mapsto tr(ad(A) ad(B))$?
Apr
19
asked Weights in $\mathfrak{sl}(3,\mathbb{C})$
Apr
19
awarded  Popular Question
Mar
26
answered The only dense linear subspace of $\mathbb{C}^n$.