Embedding Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(S_t)\) in the Heisenberg category (with an appendix written with Christopher Ryba)
DOI10.4171/QT/147zbMath1478.18017arXiv1905.05620MaRDI QIDQ2043520
Alistair Savage, Samuel Nybobe Likeng
Publication date: 2 August 2021
Published in: Quantum Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05620
symmetric groupmonoidal categorycategorificationDeligne categorypartition algebraHeisenberg categorypartition category
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Monoidal categories, symmetric monoidal categories (18M05)
Related Items (4)
Cites Work
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- On representation categories of wreath products in non-integral rank
- Trace as an alternative decategorification functor
- Partition algebras.
- On blocks of Deligne's category \(\underline {\text{Re}}\text p (S_t)\).
- \(q\)-partition algebra combinatorics
- \(G\)-colored partition algebras as centralizer algebras of wreath products
- Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
- A graphical calculus for the Jack inner product on symmetric functions
- On the definition of Heisenberg category
- The structure of the partition algebras
- Hecke algebras, finite general linear groups, and Heisenberg categorification.
- Jellyfish partition categories
- On the definition of quantum Heisenberg category
- Representation theory in complex rank. I.
- Frobenius Heisenberg categorification
- Tensor envelopes of regular categories
- A general approach to Heisenberg categorification via wreath product algebras
- Categorification and Higher Representation Theory
- The Kronecker Product of Symmetric Group Representations
- TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
- W-ALGEBRAS FROM HEISENBERG CATEGORIES
- An introduction to diagrammatic algebra and categorified quantum sl(2)
- Heisenberg algebra and a graphical calculus
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