The raise and peel model of a one-dimensional fluctuating interface (model A) is extended by considering one source (model B) or two sources (model C) at the boundaries. The Hamiltonians describing… (More)

The quantum dynamical Yang–Baxter (or Gervais–Neveu–Felder) equation defines an R-matrix R̂(p) , where p stands for a set of mutually commuting variables. A family of SL(n)-type solutions of this… (More)

We consider the raise and peel model of a one-dimensional fluctuating interface in the presence of an attractive wall. The model can also describe a pair annihilation process in a disordered… (More)

The zero modes of the chiral SU(n) WZNW model give rise to an intertwining quantum matrix algebra A generated by an n×n matrix a = (aα) , i, α = 1, . . . , n (with noncommuting entries) and by… (More)

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… (More)

The non-commutative differential calculus on the quantum groups SL q (N) is constructed. The quantum external algebra proposed contains the same number of generators as in the classical case. The… (More)

The Cayley-Hamilton-Newton identities which generalize both the characteristic identity and the Newton relations have been recently obtained for the algebras of the RTT-type. We extend this result to… (More)

Covariant differential complexes on quantum linear groups. Abstract We consider the possible covariant external algebra structures for Cartan's 1-forms (Ω) on GL q (N) and SL q (N). Our starting… (More)

The q-generalizations of the two fundamental statements of matrix algebra – the Cayley-Hamilton theorem and the Newton relations – to the cases of quantum matrix algebras of an ”RTT-” and of a… (More)