Automorphisms of sl(2) and dynamical r-matrices

Abstract

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.

14 pages, Latex

References in corpus (1)

• Classical Poisson structures and r-matrices from constrained flows

Cited by in corpus (1)

• The Stackel systems and algebraic curves