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Results tagged with symmetric-groups
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user 10881
The symmetric group $S_n$ is the group of permutations of the set of integers $\{1,\dots,n\}$. This has $n!$ elements and is generated by the $n-1$ involutions exchanging consecutive integers. The symmetric groups form the simplest family of Coxeter groups.
2
votes
bijection between S-modules and Schur functors
Let $e_1,\dots,e_n$ be a basis of $V$. There is a torus $T=(\mathbf{C}^*)^n$ acting on $V$ as follows: it multiplies $e_i$ by $\lambda_i$ (where $\lambda_1, \dots,\lambda_n$ are coordinates on the tor …
- 3,597
7
votes
Accepted
Super-plethysm?
This amounts to study composition of "linear species" in the category of complexes.
The correct way to handle these computations using plethysm is
to introduce an auxiliary variable $t$ and to weight …
- 3,597