Automorphisms of sl(2) and dynamical r-matrices
classification
solv-int
hep-thmath.QAnlin.SIq-alg
keywords
automorphismsdynamicalalgebraalgebrasbracketsconsideredconstructionscorresponding
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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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