Li et al: Clifford Algebra Realization of Certain Infinite-dimensional Lie Algebras

by Li Li, Chunyan Wang, Xiufeng Du
(Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, China)
Algebra Colloquium (AC), Volume: 18, Issue: 1 (2011), pp. 105-120.

We give a Clifford algebra realization of a certain family of infinite-dimensional Lie algebras, inspired by a result of Berman, Gao and Tan. Furthermore, we relate this realization with vertex superalgebras and quasi modules.

Clifford algebra; vertex superalgebra; quasi modules

AMSC number: 17B69



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