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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 …
6
votes
How universal is operadic approach to studying algebras?
Self-distributive laws, defined by
$x(yz)=(xy)(xz)$
are an example of such a kind of algebras. They are useful in the study of braids and large cardinals.
Here the obstruction is that one need to dup …