Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry

We give an explicit Baxterisation formula for the fused Hecke algebra and its classical limit for the algebra of fused permutations. These algebras replace the Hecke algebra and the symmetric group in the Schur–Weyl duality theorems for the symmetrised powers of the fundamental representation of gl...

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Veröffentlicht in:	Lett.Math.Phys 2021-08, Vol.111 (4), Article 92
Hauptverfasser:	Crampe, N., Poulain d'Andecy, L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Complex Systems Geometry Group Theory and Generalizations Mathematical analysis Mathematical and Computational Physics Mathematical Physics Matrices (mathematics) Permutations Physics Physics and Astronomy Representations Symmetry Theoretical
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