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We provide a factorization model for the continuous internal Hom, in the homotopy category of k-linear dg-categories, between dg-categories of equivariant factorizations. This motivates a notion, similar to that of Kuznetsov, which we call the extended Hochschild cohomology algebra of the...
Each integrable lowest weight representation of a symmetrizable Kac-Moody Lie algebra
has a crystal in the sense of Kashiwara, which describes its combinatorial properties. For a given
, there is a limit crystal, usually denoted by B(−∞), which contains all the...
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