Towers of graded superalgebras categorify the twisted Heisenberg double.

DOI10.1016/j.jpaa.2015.03.016zbMath1325.16029arXiv1406.0421OpenAlexW2093363194MaRDI QIDQ2349345

Daniele Rosso, Alistair Savage

Publication date: 22 June 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0421

zbMATH Keywords

Grothendieck groupscategories of finitely generated modulescategorificationsFock space representationstowers of algebrastwisted Hopf algebrasgraded superalgebrastwisted Heisenberg doubles

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Module categories in associative algebras (16D90) Superalgebras (17A70) ``Super (or ``skew) structure (16W55) Hopf algebras and their applications (16T05)

Related Items (7)

Twisted Frobenius extensions of graded superrings ⋮ A general approach to Heisenberg categorification via wreath product algebras ⋮ Unnamed Item ⋮ A graphical calculus for the Jack inner product on symmetric functions ⋮ Categorification and Higher Representation Theory ⋮ Representation theory of 0-Hecke-Clifford algebras ⋮ Twisted Heisenberg doubles.

Cites Work

• Unnamed Item
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• Categorification and Heisenberg doubles arising from towers of algebras
• Algebraic structures on Grothendieck groups of a tower of algebras.
• Heisenberg categorification and Hilbert schemes
• Hecke algebras, finite general linear groups, and Heisenberg categorification.
• Twisted Heisenberg doubles.
• NILCOXETER ALGEBRAS CATEGORIFY THE WEYL ALGEBRA
• A survey of Heisenberg categorification via graphical calculus
• Heisenberg algebra and a graphical calculus

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