Representation homology, Lie algebra cohomology and the derived Harish-Chandra homomorphism

DOI10.4171/JEMS/729zbMath1406.16014arXiv1410.0043WikidataQ115212341 ScholiaQ115212341MaRDI QIDQ2403285

Sasha Patotski, Thomas Willwacher, Ajay C. Ramadoss, Giovanni Felder, Yuri Yu. Berest

Publication date: 8 September 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0043

zbMATH Keywords

Lie algebra cohomologyKoszul dualityChevalley-Eilenberg complexHarish-Chandra homomorphismMacdonald identityderived representation scheme

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Poisson algebras (17B63) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cohomology of Lie (super)algebras (17B56) Symplectic structures of moduli spaces (53D30) Representation theory of associative rings and algebras (16G99)

Related Items

Dual Hodge decompositions and derived Poisson brackets ⋮ Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras ⋮ Vanishing theorems for representation homology and the derived cotangent complex ⋮ Representation homology of simply connected spaces ⋮ A higher-dimensional Chevalley restriction theorem for orthogonal groups ⋮ Symmetric homology and representation homology ⋮ Analyticity of Nekrasov partition functions ⋮ Hodge decomposition of string topology ⋮ Derived representation schemes and supersymmetric gauge theory ⋮ Protoperads II: Koszul duality

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