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24 April 2024
 
  » arxiv » math-ph/9808003

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Graded Lie algebras, representation theory, integrable mappings and systems
A. N. Leznov ;
Date 8 Aug 1998
Subject Mathematical Physics; Exactly Solvable and Integrable Systems | math-ph hep-th math.MP nlin.SI solv-int
AbstractA new class of integrable mappings and chains is introduced. Corresponding $(1+2)$ integrable systems invariant with respect to such discrete transformations are presented in an explicit form. Their soliton-type solutions are constructed in terms of matrix elements of fundamental representations of semisimple $A_n$ algebras for a given group element. The possibility of generalizing this construction to multi-dimensional case is discussed.
Source arXiv, math-ph/9808003
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