Hecke symmetries
نویسندگان
چکیده
منابع مشابه
From affine Hecke algebras to boundary symmetries
Solutions of the reflection equation for the Uq(ŝln) case are obtained by implementing certain realizations of the affine Hecke algebra. The boundary non-local charges associated to non-diagonal 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 essential...
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To some braiding R of Hecke type (a Hecke symmetry) we put into correspondence an associative algebra called the modified Reflection Equation Algebra (mREA). We construct a series of matrices L(m), m = 1, 2, ... with entries belonging to such an algebra so that each of them satisfies a version of the Cayley-Hamilton identity with central coefficients. We also consider some quotients of the mREA...
متن کاملAffine 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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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 کاملGeneralized Hecke Groups and Hecke Polygons
In this paper, we study certain Fuchsian groups H (p1, . . . , pn) , called generalized Hecke groups. These groups are isomorphic to ∏∗ n j=1Zpj . Let Γ be a subgroup of finite index in H (p1, . . . , pn) . By Kurosh’s theorem, Γ is isomorphic to Fr ∗ ∏∗ k i=1Zmi , where Fr is a free group of rank r , and each mi divides some pj . Moreover, H/Γ is Riemann surface. The numbers m1, . . . , mk are...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2000
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(99)00145-0