REPRESENTATIONS OF REFLECTION ALGEBRAS-Reference-Cited by-同舟云学术

REPRESENTATIONS OF REFLECTION ALGEBRAS

Published:2002-03 Issue:03 Volume:14 Page:317-342
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

MOLEV A. I.¹,RAGOUCY E.²

Affiliation:

1. School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia

2. LAPTH, Chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux cedex, France

Abstract

We study a class of algebras B(n,l) associated with integrable models with boundaries. These algebras can be identified with coideal subalgebras in the Yangian for gl(n). We construct an analog of the quantum determinant and show that its coefficients generate the center of B(n,l). We develop an analog of Drinfeld's highest weight theory for these algebras and give a complete description of their finite-dimensional irreducible representations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X02001156

Reference22 articles.

1. Factorizing particles on a half-line and root systems

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