Using the gauge transformations of the Classical Dynamical YangBaxter Equation introduced by P. Etingof and A. Varchenko in [EV], we reduce the classification of dynamical r-matrices on a commutative subalgebra l of a Lie algebra g to a purely algebraic problem under the assumption that l admits a g-invariant complement, where g is the centralizer of l. We then describe, for a simple complex Li...

We use the conformal Ward identities to study the structure of correlation functions in coset conformal field theories. For a large class of primary fields of arbitrary g/h theory a factorization anzatz is found.Corresponding correlation functions are explicitly expressed in terms of correlation functions of two independent WZNW theories for g and h. Coset theories is an important subclass of t...

In this paper we give, for all constants k, l, explicit algorithms that, given a graph Ž . G s V, E with a tree-decomposition of G with treewidth at most l, decide Ž . whether the treewidth or pathwidth of G is at most k, and, if so, find a Ž . tree-decomposition or path-decomposition of G of width at most k, and that use Ž < <. O V time. In contrast with previous solutions, our algorithms do n...

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The method of L functions is one of the major methods for analyzing automorphic forms. For example, the Hecke Converse Theorem gives an equivalence via the Mellin transform between holomorphic modular forms on the upper half plane and certain L functions associated to Dirichlet series, which have analytic continuation and functional equation. The classical theory of automorphic forms on the gro...