Introduction
Identifieur interne : 002727 ( Main/Merge ); précédent : 002726; suivant : 002728Introduction
Auteurs : James Lepowsky [États-Unis]Source :
- Mathematical Sciences Research Institute Publications [ 0940-4740 ] ; 1985.
Abstract
Abstract: The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry — Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman.
Url:
DOI: 10.1007/978-1-4613-9550-8_1
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