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12
votes
2
answers
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views
GL(V)-representation theory for a Lie bracket kernel
Let $V$ be a vector space over a field of characteristic $0$, and let $L_k(V)$ be the degree $k$ part of the free Lie algebra over $V$. There is an exact sequence
$$0\to D_n(V)\to L_1(V)\otimes L_{n+1 …
10
votes
4
answers
2k
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Why are operads so closely connected to mathematical physics?
Especially why multiple operads appear, not some particular operad. … Note that operads can be defined in various categories (topological spaces, vector spaces, etc) and I'm most interested in operads in the category of vector spaces. …