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- W2104148748 abstract "We give a description of the bimodule of double derivations of a finite dimensional semi-simple algebra S and its double Schouten bracket in terms of a quiver. This description is used to determine which degree two monomials induce double Poisson brackets on S. In case S = ℂ⊕n , a criterion for any degree two element to give a double Poisson bracket is deduced. For S = ℂ⊕n and S′ = ℂ⊕m the induced Poisson bracket on the variety of isomorphism classes of semi-simple representations iss n (S * T) of the free product S * T is given." @default.
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- W2104148748 date "2008-06-06" @default.
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- W2104148748 title "Double Poisson Structures on Finite Dimensional Semi-Simple Algebras" @default.
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- W2104148748 doi "https://doi.org/10.1007/s10468-008-9088-3" @default.
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