On models of irreducible q- representations of sl(2, c)

Abstract

An attempt is made to evolve Lie algebraic techniques for constructing models of irreducible representations of the Lie algebra sl(2 C). Some of these techniques involve the idea of q-difference calculus which is developed almost from scratch. Later, these models are used to obtain q-identities, some of which are believed to be new

Keywords:

• g-hypergeometric functions
• fractional
• difference calculus
• representations of 4/(2C)