Quasifinite highest weight modules over the Lie algebra of differential operators on the circle期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Quasifinite highest weight modules over the Lie algebra of differential operators on the circle

Authors:	Victor Kac Andrey Radul

Institution:	(1) Mathematics Department, M.I.T., 02139 Cambridge, MA, USA

Abstract:	We classify positive energy representations with finite degeneracies of the Lie algebraW ₁₊ and construct them in terms of representation theory of the Lie algebra $\hat gl(\infty ,R_m )$ of infinites matrices with finite number of non-zero diagonals over the algebraR _m=t]/(t ^m+1). The unitary ones are classified as well. Similar results are obtained for the sin-algebras.Supported in part by NSF grant DMS-9103792Supported in part by DOE grant DE-F602-88ER25066

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