VERTEX REPRESENTATIONS FOR N-TOROIDAL LIE-ALGEBRAS AND A GENERALIZATION OF THE VIRASORO ALGEBRA

Authors
RAO SE MOODY RV
Citation
Se. Rao et Rv. Moody, VERTEX REPRESENTATIONS FOR N-TOROIDAL LIE-ALGEBRAS AND A GENERALIZATION OF THE VIRASORO ALGEBRA, Communications in Mathematical Physics, 159(2), 1994, pp. 239-264
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
159
Issue
2
Year of publication
1994
Pages
239 - 264
Database
ISI
SICI code
0010-3616(1994)159:2<239:VRFNLA>2.0.ZU;2-K
Abstract
Vertex representations are obtained for toroidal Lie algebras for any number of variables. These representations afford representations of c ertain n-variable generalizations of the Virasoro algebra that are abe lian extensions of the Lie algebra of vector fields on a torus.