Published August 1995
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On the huge Lie superalgebra of pseudo superdifferential operators and super KP-hierarchies
Description
Lie superalgebraic methods are used to establish a connection between the huge Lie superalgebra Ξ of super (pseudo) differential operators and various super KP-hierarchies. We show in particular that Ξ splits into 5 = 2 x 2 + 1 graded algebras expected to correspond to five classes of super KP-hierarchies generalizing the well-known Manin-Radul and Figueroa O'Farrill-Ramos supersymmetric KP-hierarchies. (author). 10 refs
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Additional details
Publishing Information
- Imprint Pagination
- 11 p.
- Report number
- IC--95/224
INIS
- Country of Publication
- International Atomic Energy Agency (IAEA)
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 26077991
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; GRADED LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; SUPERSYMMETRY
- Descriptors DEC
- EQUATIONS; LIE GROUPS; SPACE; SYMMETRY; SYMMETRY GROUPS