Covariance Properties of Reflection Equation Algebras
نویسندگان
چکیده
منابع مشابه
Affine Hecke algebras, reflection equation and boundary symmetries
Solutions of the reflection equation for the Uq(ŝln) case are obtained by implementing certain realisations of the affine Hecke algebra. The boundary non–local charges associated to nondiagonal solutions of the reflection equation are constructed systematically, and the symmetry of the corresponding open spin chain is investigated. We prove that the symmetry of the open spin chain is essentiall...
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A complete system of pairwise orthogonal minimal idempotents for Birman–Murakami–Wenzl algebras is obtained by a consecutive evaluation of a rational function in several variables on sequences of quantum contents of up-down tableaux. A byproduct of the construction is a one-parameter family of fusion procedures for Hecke algebras. Classical limits to two different fusion procedures for Brauer a...
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We discuss how properties of Hecke symmetry (i.e., Hecke type R-matrix) influence the algebraic structure of the corresponding Reflection Equation (RE) algebra. Analogues of the Newton relations and Cayley-Hamilton theorem for the matrix of generators of the RE algebra related to a finite rank even Hecke symmetry are derived.
متن کاملRepresentations of reflection algebras
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 t...
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Reflection equation algebras and related Uq(g)-comodule algebras appear in various constructions of quantum homogeneous spaces and can be obtained via transmutation or equivalently via twisting by a cocycle. In this paper we investigate algebraic and representation theoretic properties of such so called ‘covariantized’ algebras, in particular concerning their centres, invariants, and characters...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1993
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp/89.3.741