Q-Boson Representation of the Quantum Matrix Algebra $M_q(3)$

Abstract

{Although q-oscillators have been used extensively for realization of quantum universal enveloping algebras,such realization do not exist for quantum matrix algebras ( deformation of the algebra of functions on the group ). In this paper we first construct an infinite dimensional representation of the quantum matrix algebra $M_q(3)$(the coordinate ring of $G{L}_q(3))$ and then use this representation to realize $G{L}_q(3)$ by q-bosons.}

arXiv commentpages 18 ,report # 93-009

Cited by in corpus (1)

• Some remarks on the Gauss decomposition for quantum group GL_q(n)