Representation Theory of The $W_{1+\infty}$ Algebra
High Energy Physics - Theory
2008-11-26 v1
Abstract
We review the recent development in the representation theory of the algebra. The topics that we concern are, Quasifinite representation, Free field realizations, (Super) Matrix Generalization, Structure of subalgebras such as 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.)
Keywords
Cite
@article{arxiv.hep-th/9408158,
title = {Representation Theory of The $W_{1+\infty}$ Algebra},
author = {H. Awata and M. Fukuma and Y. Matsuo and S. Odake},
journal= {arXiv preprint arXiv:hep-th/9408158},
year = {2008}
}
Comments
36 pages, LaTeX, RIMS-990, YITP/K-1087, YITP/U-94-25, SULDP-1994-7