Duflo-Moore Operator for The Square-Integrable Representation of 2-Dimensional Affine Lie Group

Two-wavelet constants for square integrable representations of G/H

In this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. We establish the orthogonality relations fo...

Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras

In this paper we present Affine.m — a program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. The algorithms are based on the properties of weights and Weyl symmetry. Computation of weight multiplicities in irreducible and Verma modules, branching of representations and tensor product decomposition are the most importa...

Lie Algebraic Structures in Integrable Models, Affine Toda Field Theory

Complete Pseudoparticle Operator Representation for Integrable Electronic Luttinger Liquids

We introduce the pseudoparticle operator algebra that generates all Hubbardchain eigenstates from a single reference vacuum. The occurence of only zeromomentum pseudoparticle forward scattering at all energy scales combined with the infinite pseudoparticle-number conservation laws establish this operator basis as the most suitable for dealing with transport properties at finite frequencies. We ...

Vertex Operator Algebra Structure of Standard Affine Lie Algebra Modules