Chain models on Hecke algebra for corner type representations.

DOI10.1016/S0034-4877(08)80019-5zbMath1171.20301arXiv0710.0261MaRDI QIDQ1025382

A. P. Isaev, A. F. Os'kin, O. V. Ogievetskij

Publication date: 18 June 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0261

zbMATH Keywords

Hecke algebrasirreducible representationsspin chainsopen chain models

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Operator algebra methods applied to problems in quantum theory (81R15) Applications of group representations to physics and other areas of science (20C35)

Cites Work

• Open Hecke chains and free fermions
• On baxterized solutions of reflection equation and integrable chain models
• Hecke algebra representations of braid groups and link polynomials
• Functional equations for transfer-matrix operators in open Hecke chain models
• A TEMPLATE FOR QUANTUM SPIN CHAIN SPECTRA
• On quantum matrix algebras satisfying the Cayley - Hamilton - Newton identities
• Blocks and Idempotents of Hecke Algebras of General Linear Groups

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