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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
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Center of Grothendieck differential operators in positive characteristic
Let $k$ be a field of characteristic $p$. Consider the algebra $A:=\mathcal{D}(k[x])^{S_2}$ consisting of Grothendieck differential operators invariant under the $S_2$ action $x\mapsto -x$. The algebr …