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On Irreducible Weight Representations of a New Deformation (The symbol is abbreviated)(subscript q) (sl2) of U (sl2)
並列摘要
Starting from a Hecke R-matrix, Jing and Zhang constructed a new deformation (The Symbol is abbreviated)(subscript q) (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.
並列關鍵字
無資料延伸閱讀
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