Representation Theory of theW1+∞Algebra
Author(s) -
Hidetoshi Awata,
Masafumi Fukuma,
Yutaka Matsuo,
Satoru Odake
Publication year - 1995
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.118.343
Subject(s) - algebra over a field , representation (politics) , representation theory , algebra representation , mathematics , trivial representation , pure mathematics , political science , politics , law
We review the recent development in the representation theory of the$W_{1+\infty}$ algebra. The topics that we concern are, Quasifiniterepresentation, 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 Modelsand Beyond", YITP, 14-17 February 1994. To appear in Progress of TheoreticalPhysics Proceedings Supplement.)Comment: 36 pages, LaTeX, RIMS-990, YITP/K-1087, YITP/U-94-25, SULDP-1994-
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