Class of representations of skew derivation Lie algebra over quantum torus

Nina Yu

doi:10.1007/s11464-008-0003-3

Front. Math. China ›› 2007, Vol. 3 ›› Issue (1) : 119 -131. DOI: 10.1007/s11464-008-0003-3

Research Article

Class of representations of skew derivation Lie algebra over quantum torus

Nina Yu ¹^,^a

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Abstract

Let L be the skew derivation Lie algebra of the quantum torus ℂ_q. In this paper, we give a class of irreducible representations for L with infinite dimensional weight spaces.

Keywords

Representation / Lie algebra / skew derivation / quantum torus

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Nina Yu. Class of representations of skew derivation Lie algebra over quantum torus. Front. Math. China, 2007, 3(1): 119-131 DOI:10.1007/s11464-008-0003-3

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