Automorphisms of sl(2) and dynamical r-matrices

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Latex

Scientific paper

Two outer automorphisms of infinite-dimensional representations of $sl(2)$
algebra are considered. The similar constructions for the loop algebras and
yangians are presented. The corresponding linear and quadratic $R$-brackets
include the dynamical $r$-matrices.

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