பொதுமைப்படுத்தப்பட்ட பொய் கோட்பாடு மற்றும் பயன்பாடுகளின் இதழ்

On irreducible weight representations of a new deformation Uq(sl2) of U(sl2)

Abstract

Xin TANG

Starting from a Hecke R-matrix, Jing and Zhang constructed a new deformation Uq(sl2) of U(sl2) and studied its finite dimensional representations in [Pacific J. Math., 171 (1995), 437-454]. In this note, more irreducible representations for this algebra are constructed. At first, by using methods in noncommutative algebraic geometry the points of the spectrum of the category of representations over this new deformation are studied. The construction recovers all finite dimensional irreducible representations classified by Jing and Zhang, and yields new families of infinite dimensional irreducible weight representations.