Explicit isomorphisms are built between three models of the B(∞) crystal in type A1^(1), including a new upper ledge diagram model, plus applications to KLR algebra branching rules.
Superalgebra deformations of web categories: Affine and cyclotomic webs
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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.
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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.