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Graded Lie algebras, representation theory, integrable mappings and systems: nonabelian case | | A. N. Leznov
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8 Oct 1998 | | Subject: | Mathematical Physics; Exactly Solvable and Integrable Systems | math-ph hep-th math.MP nlin.SI solv-int | | Abstract: | The exactly integrable systems connected with semisimple series $A$ for arbitrary grading are presented in explicit form. Their general solutions are expressed in terms of the matrix elements of various fundamental representations of $A_n$ groups. The simplest example of such systems is the generalized Toda chain with the matrices of arbitrary dimensions in each point of the lattice. | | Source: | arXiv, math-ph/9810006 | | Services: | Forum | Review | PDF | Favorites | |
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