Cluster Algebra Structures on Poisson Nilpotent Algebras 1DBKEA Michael Selzer and his colleagues

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Cluster Algebra Structures on Poisson Nilpotent Algebras 1DBKEA Michael Selzer and his colleaguesVarious coordinate rings of varieties appearing in the theory of Poisson Lie groups and Poisson homogeneous spaces belong to the large, axiomatically defined class of symmetric Poisson nilpotent algebras, e. g. coordinate rings of Schubert cells for symmetrizable Kac Moody groups, affine charts of Bott Samelson varieties, coordinate rings of double Bruhat cells (in the last case after a localization). We prove that every symmetric Poisson nilpotent