Quadratic Algebras Related to the Bi-Hamiltonian Operad - Concepedia

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Quadratic Algebras Related to the Bi-Hamiltonian Operad

DOI Full Paper Access

20

Citations

4

References

2007

Year

Mikhail Bershtein, Vladimir Dotsenko, Anton Khoroshkin

International Mathematics Research Notices

Abstract

We prove the conjectures on dimensions and characters of some quadratic\nalgebras stated by B$.$L$.$Feigin. It turns out that these algebras are\nnaturally isomorphic to the duals of the components of the bihamiltonian\noperad.\n

References

	Year	Citations
Combinatorics and topology of complements of hyperplanes Peter Orlik, Louis Solomon Inventiones mathematicae Topological CombinatoricsExtremal Set TheorySet-theoretic Topology	1980	625
Vanishing theorems and character formulas for the Hilbert scheme of points in the plane Mark Haiman Inventiones mathematicae Schubert CalculusRiemann-hilbert ProblemAlgebraic AnalysisReal Algebraic GeometryComplex Geometry	2002	247
Character formulas for the operad of two compatible brackets and for the bi-Hamiltonian operad Vladimir Dotsenko, Anton Khoroshkin Functional Analysis and Its Applications Compatible BracketsBi-hamiltonian OperadCharacter FormulasRepresentation Theory	2007	63
Heaviside functions of a configuration of hyperplanes Alexander Varchenko, I. M. Gel'fand Functional Analysis and Its Applications Integral GeometryEngineeringGeneralized FunctionHeaviside FunctionsConvex Hull	1988	32

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