QUASIFINITE HIGHEST WEIGHT MODULES OVER THE LIE-ALGEBRA OF DIFFERENTIAL-OPERATORS ON THE CIRCLE

被引：198

作者：

KAC, V

RADUL, A

机构：

[1] Mathematics Department, M.I.T., Cambridge, 02139, MA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 157卷 / 03期

关键词：

D O I：

10.1007/BF02096878

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We classify positive energy representations with finite degeneracies of the Lie algebra W1+infinity and construct them in terms of representation theory of the Lie algebra gl(infinity, R(m)) of infinites matrices with finite number of non-zero diagonals over the algebra R(m) = C[t]/(t(m+1)). The unitary ones are classified as well. Similar results are obtained for the sin-algebras.

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页码：429 / 457

页数：29

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