Displaying similar documents to “Cohomology of Hom-Lie superalgebras and q -deformed Witt superalgebra”

Lefschetz coincidence numbers of solvmanifolds with Mostow conditions

Hisashi Kasuya (2014)

Archivum Mathematicum

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For any two continuous maps f , g between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of f , g . This result is an extension of the result of Ha, Lee and Penninckx for completely solvable case.

Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

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Let M be a differential manifold. Let Φ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from Φ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on C ( M ) and its cohomology ( Γ ( M , Λ T M ) , [ - , - ] S ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on G -structures, explanation...

Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings

Deng Yin Wang, Xian Wang (2008)

Archivum Mathematicum

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Let R be an arbitrary commutative ring with identity, gl ( n , R ) the general linear Lie algebra over R , d ( n , R ) the diagonal subalgebra of gl ( n , R ) . In case 2 is a unit of R , all subalgebras of gl ( n , R ) containing d ( n , R ) are determined and their derivations are given. In case 2 is not a unit partial results are given.