Quasi-finite highest weight modules over W∞N

被引：1

作者：

Boyallian, Carina ^{[1
]}

Meinardi, Vanesa ^{[1
]}

机构：

[1] Univ Nacl Cordoba, Ciem FAMAF, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 23期

关键词：

DIFFERENTIAL-OPERATORS; LIE-ALGEBRA; REPRESENTATIONS; W1+INFINITY; CIRCLE;

D O I：

10.1088/1751-8113/44/23/235201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we classify the irreducible quasi-finite highest weight modules of the Lie subalgebras W-infinity,p(N) of the Lie algebra of matrix differential operators on the circle. We also realize the W-infinity(N)-modules in terms of the representation theory of the complex Lie algebra gl(infinity)([m]) of infinite matrices with a finite number of nonzero diagonals with entries in the algebra of truncated polynomials.

引用

页数：11

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