Source Identities and Kernel Functions for Deformed (Quantum) Ruijsenaars Models
نویسندگان
چکیده
منابع مشابه
Elliptic Quantum Groups and Ruijsenaars Models
We construct symmetric and exterior powers of the vector representation of the elliptic quantum groups Eτ,η(glN). The corresponding transfer matrices give rise to various integrable difference equations which could be solved in principle by the nested Bethe ansatz method. In special cases we recover the Ruijsenaars systems of commuting difference operators.
متن کاملDeformed Macdonald-ruijsenaars Operators and Super Macdonald Polynomials
It is shown that the deformed Macdonald-Ruijsenaars operators can be described as the restrictions on certain affine subvarieties of the usual Macdonald-Ruijsenaars operator in infinite number of variables. The ideals of these varieties are shown to be generated by the Macdonald polynomials related to Young diagrams with special geometry. The super Macdonald polynomials and their shifted versio...
متن کاملWhittaker Functions on Quantum Groups and Q-deformed Toda Operators
Let G be a simply connected simple Lie group over C. Let N± be the positive and the negative maximal unipotent subgroups, and H the maximal torus, corresponding to some polarization of G. Let G0 = N−HN+ be the big Bruhat cell. Let χ± : N± → C be holomorphic nondegenerate characters (i.e. they don’t vanish on simple roots). A Whittaker function on G0 with characters χ+, χ− is any holomorphic fun...
متن کاملQuantum Deformations of τ-functions, Bilinear Identities and Representation Theory1
This paper is a brief review of recent results on the concept of “generalized τ -function”, defined as a generating function of all the matrix elements in a given highest-weight representation of a universal enveloping algebra G. Despite the differences from Talk presented at the Workshop on Symmetries and Integrability of Difference Equations, Montreal, May, 1994 E-mail address: [email protected]...
متن کاملRuijsenaars-Schneider models and their spectral curves
We study the elliptic Cn and BCn Ruijsenaars-Schneider models which is elliptic generalization of system given in [1]. The Lax pairs for these models are constructed by Hamiltonian reduction technology. We show that the spectral curves can be parameterized by the involutive integrals of motion for these models. Taking nonrelativistic limit and scaling limit, we verify that they lead to the syst...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2014
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-014-0690-5