Defining an affine partition algebra
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Publication:6146904
DOI10.1007/s10468-022-10196-5arXiv2110.08652OpenAlexW3205496607MaRDI QIDQ6146904
Samuel Creedon, Maud De Visscher
Publication date: 15 January 2024
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08652
Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)
Cites Work
- The degenerate affine walled Brauer algebra
- Partition algebras.
- Generators and relations for partition monoids and algebras.
- The center of the partition algebra
- Affine walled Brauer algebras and super Schur-Weyl duality
- Index for subfactors
- Young's orthogonal form for Brauer's centralizer algebra
- Jucys-Murphy elements and a presentation for partition algebras.
- Embedding Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(S_t)\) in the Heisenberg category (with an appendix written with Christopher Ryba)
- A new approach to the representation theory of the partition category
- Standard modules, induction and the structure of the Temperley-Lieb algebra
- A seminormal form for partition algebras
- Affine and degenerate affine BMW algebras: the center
- Some combinatorial aspects of reduced words in finite Coxeter groups
- An Invariant of Regular Isotopy
- Heisenberg algebra and a graphical calculus
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