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The SOS model partition function and the elliptic weight functions
We generalized a recent observation (Khoroshkin and Pakuliak 2005 Theor. Math. Phys. 145 1373) that the partition function of the six-vertex model with domain wall boundary conditions can be obtained
KP hierarchy for the cyclic quiver
We introduce a generalisation of the KP hierarchy, closely related to the cyclic quiver and the Cherednik algebra $H_k(\mathbb Z_m)$. This hierarchy depends on $m$ parameters (one of which can be
Transition function for the Toda chain
We use the method of Λ-operators developed by Derkachov, Korchemsky, and Manashov to derive eigenfunctions for the open Toda chain. Using the diagram technique developed for these Λ-operators, we
Singular polynomials from orbit spaces
Abstract We consider the polynomial representation S(V*) of the rational Cherednik algebra Hc(W) associated to a finite Coxeter group W at constant parameter c. We show that for any degree d of W and
Reflection Functor in the Representation Theory of Preprojective Algebras for Quivers and Integrable Systems
A brief overview of the representation theory of quivers and the associated (deformed) preprojective algebras, as well as of the theories of moduli spaces of these algebras, quiver varieties and a
Classical elliptic current algebras. I
This is a continuation of the previous paper “Classical elliptic current algebras. I“ [J. Gen. Lie Theory Appl. 2 (2002), 65–78]. We describe different degenerations of the classical elliptic
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model ?
In this paper we construct the quantum spectral curve for the quantum dynami- cal elliptic gl n Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic
On the universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)
We continue investigation of the universal weight function for the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ started in arXiv:math/0610517 and arXiv:0711.2819. We obtain two recurrence
Q A ] 2 1 N ov 2 00 7 ITEP-TH-55 / 07 On the universal weight function for the quantum affine algebra U q ( ĝl N )
We continue investigation of the universal weight function for the quantum affine algebra Uq(ĝlN ) started in [KPT] and [KP]. We obtain two recurrence relations for the universal weight function
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