Categorification and Higher Representation Theory

DOI10.1090/conm/683zbMath1362.81008arXiv1509.02211OpenAlexW2621130727MaRDI QIDQ2970212

Diego Berdeja Suárez

Publication date: 29 March 2017

Published in: Contemporary Mathematics, Categorification and Higher Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02211

zbMATH Keywords

Heisenberg algebraHopf algebrasymmetric functionsquantum algebraHeisenberg double

Mathematics Subject Classification ID

Related Items (16)

Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification ⋮ Foundations of Frobenius Heisenberg categories ⋮ Localized calculus for the Hecke category ⋮ A graphical calculus for the Jack inner product on symmetric functions ⋮ 𝑝-DG Cyclotomic nilHecke Algebras II ⋮ The degenerate Heisenberg category and its Grothendieck ring ⋮ The modular Temperley-Lieb algebra ⋮ On the functoriality of \(\mathfrak{sl}_2\) tangle homology ⋮ On some \(p\)-differential graded link homologies. II ⋮ Semi-Infinite Highest Weight Categories ⋮ A deformation of Robert-Wagner foam evaluation and link homology ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Singularities of Schubert varieties within a right cell ⋮ Embedding Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(S_t)\) in the Heisenberg category (with an appendix written with Christopher Ryba) ⋮ Quivers for 𝑆𝐿₂ tilting modules ⋮ Generalized Mullineux involution and perverse equivalences

Cites Work

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• Categorification and Heisenberg doubles arising from towers of algebras
• Symmetric quotient stacks and Heisenberg actions
• Heisenberg categorification and Hilbert schemes
• Hecke algebras, finite general linear groups, and Heisenberg categorification.
• Twisted Heisenberg doubles.
• Towers of graded superalgebras categorify the twisted Heisenberg double.
• A general approach to Heisenberg categorification via wreath product algebras
• A survey of Heisenberg categorification via graphical calculus
• Heisenberg algebras and rational double affine Hecke algebras
• Heisenberg algebra and a graphical calculus
• Ribbon operators and Hall-Littlewood symmetric functions

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