28 pages, LaTeXThe quantum dynamical Yang-Baxter (or Gervais-Neveu-Felder) equation defines an R-matrix R(p), where $p$ stands for a set of mutually commuting variables. A family of SL(n)-type solutions of this equation provides a new realization of the Hecke algebra. We define quantum antisymmetrizers, introduce the notion of quantum determinant and compute the inverse quantum matrix for matrix algebras of the type R(p) a_1 a_2 = a_1 a_2 R. It is pointed out that such a quantum matrix algebra arises in the operator realization of the chiral zero modes of the WZNW model
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework...
AbstractFor a Hecke operator R, one defines the matrix bialgebra ER, which is considered as function...
Hecke algebraic properties of dynamical R-matrices. Application to related quantum matrix algebras L...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
Abstract. A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Ge...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang...
46 pagesFor a finite dimensional simple Lie algebra g, the standard universal solution R(x) in $U_q(...
A complete classification of non-affine dynamical quantum $R$-matrices obeying the $Gl_n(C)$-Gervais...
We have constructed series of the spectral parameter dependent solutions to the Yang–Baxter equation...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework...
AbstractFor a Hecke operator R, one defines the matrix bialgebra ER, which is considered as function...
Hecke algebraic properties of dynamical R-matrices. Application to related quantum matrix algebras L...
Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix gi...
Abstract. A complete classification of non-affine dynamical quantum R-matrices obeying the Gln(C)-Ge...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which ar...
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang...
46 pagesFor a finite dimensional simple Lie algebra g, the standard universal solution R(x) in $U_q(...
A complete classification of non-affine dynamical quantum $R$-matrices obeying the $Gl_n(C)$-Gervais...
We have constructed series of the spectral parameter dependent solutions to the Yang–Baxter equation...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
The quantum dynamical Yang-Baxter (QDYB) equation is a useful generalization of the quantum Yang-Bax...
Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework...
AbstractFor a Hecke operator R, one defines the matrix bialgebra ER, which is considered as function...