ON THE HUGE LIE SUPERALGEBRA OF PSEUDO-SUPERDIFFERENTIAL OPERATORS AND SUPER KP-HIERARCHIES

Authors
SEDRA MB
Citation
Mb. Sedra, ON THE HUGE LIE SUPERALGEBRA OF PSEUDO-SUPERDIFFERENTIAL OPERATORS AND SUPER KP-HIERARCHIES, Journal of mathematical physics, 37(7), 1996, pp. 3483-3490
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
7
Year of publication
1996
Pages
3483 - 3490
Database
ISI
SICI code
0022-2488(1996)37:7<3483:OTHLSO>2.0.ZU;2-W
Abstract
Lie superalgebraic methods are used to establish a connection between the huge Lie superalgebra Xi of super- (pseudo-) differential operator s and various super KP-hierarchies. We show in particular that Xi spli ts into 5=2X2+1 graded algebras expected to correspond to five classes of super-KP-hierarchies generalizing the well-known Manin-Radul and F igueroa-Mas-Ramos supersymmetric KP-hierarchies. (C) 1996 American Ins titute of Physics.