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Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras
- Publication Year :
- 2018
-
Abstract
- For a diagram automorphism of an affine Kac-Moody algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld-Sokolov hierarchy also admits an induced automorphism. Then we show how to obtain the Drinfeld-Sokolov hierarchy associated to the affine Kac-Moody algebra that corresponds to the folded Dynkin diagram from the invariant sub-hierarchy of the original Drinfeld-Sokolov hierarchy.<br />48 pages
- Subjects :
- Pure mathematics
Hierarchy
Nonlinear Sciences - Exactly Solvable and Integrable Systems
010102 general mathematics
Diagram
FOS: Physical sciences
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Automorphism
01 natural sciences
High Energy Physics::Theory
Dynkin diagram
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Mathematics::Quantum Algebra
0103 physical sciences
010307 mathematical physics
Affine transformation
Exactly Solvable and Integrable Systems (nlin.SI)
0101 mathematics
Invariant (mathematics)
Mathematics::Representation Theory
Mathematical Physics
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....1ce2c34740c9d3157a8893bc5a7d3dc1