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Results tagged with rt.representation-theory
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user 22211
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
8
votes
2
answers
1k
views
Invariants of Symmetric group
The celebrated Chevalley–Shephard–Todd theorem says that $\mathbb C[V]^{S_n}$ is a polynomial algebra and gives the generators of this algebra, where $V$ is the standard (or natural) representation of …
- 153
5
votes
0
answers
433
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FFT like theorems for tensor product
The fundamental theorem of symmetric functions states that $\mathbb C[V]^{S_n}$ is generated by the elementary symmetric polynomials, where $V$ is the natural representation of $S_n$. Then a theorem o …
- 153