Defines higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras as path algebras of categories depending on a Frobenius superalgebra, yielding new analogues of degenerate affine Hecke and affine Sergeev algebras.
Presentations of linear monoidal categories and their endomorphism algebras
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abstract
We give the definition of presentations of linear monoidal categories. Our main result is that given a presentation of a linear monoidal category, we can produce a presentation of the same category as a linear category. We apply this result to endomorphism algebras of certain important linear monoidal categories.
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Higher-level affine wreath product algebras
Defines higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras as path algebras of categories depending on a Frobenius superalgebra, yielding new analogues of degenerate affine Hecke and affine Sergeev algebras.