A basis theorem for the affine oriented Brauer category and its cyclotomic quotients
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Publication:528808
DOI10.4171/QT/87zbMath1419.18011arXiv1404.6574MaRDI QIDQ528808
Publication date: 16 May 2017
Published in: Quantum Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.6574
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Affine oriented Frobenius Brauer categories ⋮ Rewriting modulo isotopies in pivotal linear \((2,2)\)-categories ⋮ Categorical actions and multiplicities in the Deligne category \(\underline{Rep}(G L_t)\) ⋮ Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra ⋮ Frobenius W-algebras and traces of Frobenius Heisenberg categories ⋮ A basis theorem for the affine Kauffman category and its cyclotomic quotients ⋮ Rewriting in higher dimensional linear categories and application to the affine oriented Brauer category ⋮ On the definition of quantum Heisenberg category ⋮ Homological kernels of monoidal functors ⋮ The degenerate Heisenberg category and its Grothendieck ring ⋮ Diagrammatics for F4$F_4$ ⋮ Representations of cyclotomic oriented Brauer categories ⋮ Webs of type Q ⋮ Semisimplification of the category of tilting modules for \(\mathrm{GL}_n\) ⋮ Categorical actions and crystals ⋮ Heisenberg and Kac-Moody categorification ⋮ Affine walled Brauer-Clifford superalgebras ⋮ Monoidal supercategories ⋮ Affine Brauer category and parabolic category \(\mathcal{O}\) in types \(B, C, D\) ⋮ A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory ⋮ Walled Brauer algebras as idempotent truncations of level 2 cyclotomic quotients. ⋮ On the definition of Heisenberg category ⋮ The finite dimensional irreducible modules for affine walled Brauer algebras ⋮ The affine VW supercategory ⋮ Deligne categories and the periplectic Lie superalgebra ⋮ Frobenius Heisenberg categorification ⋮ String diagrams and categorification ⋮ Representations of weakly triangular categories
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