Fock Representations and Quantum Matrices
Quantum Algebra
2016-09-07 v1
Abstract
In this paper we study the Fock representation of a certain -algebra which appears naturally in the framework of quantum group theory. It is also a generalization of the twisted CCR-algebra introduced by W. Pusz and S.~Woronowicz. We prove that the Fock representation is a faithful irreducible representation of the algebra by bounded operators in a Hilbert space, and, moreover, it is the only (up to unitary equivalence) representation possessing these properties. Keywords and phrases: Fock representation, quantum groups, bounded symmetric domain, non-compact Hermitian symmetric spaces
Cite
@article{arxiv.math/0410605,
title = {Fock Representations and Quantum Matrices},
author = {D. Shklyarov and S. Sinel'shchikov and L. Vaksman},
journal= {arXiv preprint arXiv:math/0410605},
year = {2016}
}
Comments
LaTeX2e, 37 pages