On representation categories of wreath products in non-integral rank

DOI10.1016/j.aim.2012.05.002zbMath1248.18007arXiv1105.5091OpenAlexW2022060322MaRDI QIDQ436164

Masaki Mori

Publication date: 30 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5091

zbMATH Keywords

partition algebrastensor categoriesDeligne category

Mathematics Subject Classification ID

Bialgebras (16T10)

Related Items (7)

On the partition approach to Schur-Weyl duality and free quantum groups (appendix by A. Chirvasitu) ⋮ Generators for the representation rings of certain wreath products ⋮ New realizations of deformed double current algebras and Deligne categories ⋮ Representation theory in complex rank. I. ⋮ Embedding Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(S_t)\) in the Heisenberg category (with an appendix written with Christopher Ryba) ⋮ Stable Grothendieck rings of wreath product categories ⋮ Group partition categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representation theory in complex rank. II
• Categories parametrized by schemes and representation theory in complex rank
• On blocks of Deligne's category \(\underline {\text{Re}}\text p (S_t)\).
• Note on Frobenius monoidal functors
• \(G\)-colored partition algebras as centralizer algebras of wreath products
• A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl)
• Tensor envelopes of regular categories
• A construction of semisimple tensor categories
• A Survey of Graphical Languages for Monoidal Categories
• CHARACTERIZATION FOR THE MODULAR PARTY ALGEBRA
• What Separable Frobenius Monoidal Functors Preserve
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION

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