Induced representations and traces for chains of affine and cyclotomic Hecke algebras.
DOI10.1016/j.geomphys.2014.07.005zbMath1327.20002arXiv1312.6980OpenAlexW2095187899MaRDI QIDQ478634
Loïc Poulain d'Andecy, O. V. Ogievetskij
Publication date: 3 December 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.6980
Ariki-Koike algebrascyclotomic Hecke algebrasaffine Hecke algebrasinduced representationscomplex reflection groupsnormal form theoremsCoxeter-Todd algorithmflat deformationsfusion formularelative traces
Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
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Cites Work
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- Bethe subalgebras of the group algebra of the symmetric group
- An inductive approach to representations of complex reflection groups \(G(m,1,n)\).
- Schur elements for the Ariki-Koike algebra and applications.
- On baxterized solutions of reflection equation and integrable chain models
- A new interpretation of Gelfand-Tsetlin bases
- Symmetric cyclotomic Hecke algebras
- A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
- Reduced words and a length function for \(G(e,1,n)\)
- Matrix units and generic degrees for the Ariki-Koike algebras.
- Bethe subalgebras in Hecke algebra and Gaudin models
- ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS
- Fusion procedure for Coxeter groups of type 𝐵 and complex reflection groups 𝐺(𝑚,1,𝑛)
- Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
- A practical method for enumerating cosets of a finite abstract group
- Weights of Markov traces and generic degrees
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