Published 1986
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Kac - Moody algebras
Description
The results from the theory of representations of Kac- Moody algebras are presented. Definitions and simplest properties of current algebras and Kac - Moody algebras are given. The main ieas of vertex operator plotting from the theory of representations of free fermions and current algebras are illustrated. Application of vertex operators in ''principal'' realization to plotting the solitons of N hierarchies of Korteweg-de-Vries equations is described
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Additional details
Additional titles
- Subtitle (English)
- Central extensions, cohomologies and vertex operator representation of free fermions
- Original title (Russian)
- Algebry Katsa - Mudi
- Original subtitle (Russian)
- Tsentral'nye rasshireniya, kogomologii i predstavlenie svobodnykh fermionov vershinnymi operatorami.
Publishing Information
- Imprint Pagination
- 31 p.
- Report number
- ITEF--178(1986)
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 19014560
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CURRENT ALGEBRA; EUCLIDEAN SPACE; FERMIONS; GRADED LIE GROUPS; HILBERT SPACE; MATHEMATICAL OPERATORS; SOLITONS; STRING MODELS; VERTEX FUNCTIONS
- Descriptors DEC
- BANACH SPACE; EXTENDED PARTICLE MODEL; FUNCTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; PARTICLE MODELS; QUASI PARTICLES; RIEMANN SPACE; SPACE; SYMMETRY GROUPS
Optional Information
- Notes
- 30 refs.