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Results tagged with rt.representation-theory
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user 40637
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
4
votes
0
answers
257
views
Invariants of the symmetric group
Let $V_\lambda$ be an irreducible representation of the symmetric group $S_n$ as usual labeled by parition $\lambda$ of $n.$
Question.
Is there any general information about the algebra of invari …
- 656
2
votes
Accepted
Invariants in $S^n(S^k(\mathbb{C}^w)$
There is an isomorphism $S^d(\mathbb{C}^n) \cong V_{n,d}$ where $V_{n,d}$ is the the vector $\mathbb{C}$-space of $n$-ary forms of degree $d.$
The number $\nu_{n,d}(k)$ of linearly independent …
- 656
5
votes
2
answers
492
views
Linearisation of a group
If $G$ is a connected Lie group acting on a vector $\mathbb{C}$-space $V$ then it is well known that the algebra of invariants $\mathbb{C}[V]^G$ coincides with the algebra of invariants $\mathbb{ …
- 656