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arXiv · hep-th/9408158

Representation Theory of The $W_{1+\infty}$ Algebra

H. Awata·M. Fukuma·Y. Matsuo·S. Odake
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Abstract

We review the recent development in the representation theory of the $W_{1+\infty}$ algebra. The topics that we concern are, Quasifinite representation, Free field realizations, (Super) Matrix Generalization, Structure of subalgebras such as $W_\infty$ algebra, Determinant formula, Character formula. (Invited talk at ``Quantum Field Theory, Integrable Models and Beyond", YITP, 14-17 February 1994. To appear in Progress of Theoretical Physics Proceedings Supplement.)

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H. Awata, M. Fukuma, Y. Matsuo, S. Odake. 1994-08-29. Representation Theory of The $W_{1+\infty}$ Algebra. https://doi.org/10.1143/ptps.118.343

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