53 citations · 287 across the 51 of their papers we have counts for
6 papers · 1 filter
Kaehler structures on T*G having as underlying symplectic form the standard one
Johannes Huebschmann, Karl Leicht
For a connected Lie group G, we show that a complex structure on the total space TG of the tangent bundle of G that is left invariant and has the property that each left translatio…
Multi derivation Maurer-Cartan algebras and sh-Lie-Rinehart algebras
Johannes Huebschmann
We extend the classical characterization of a finite-dimensional Lie algebra g in terms of its Maurer-Cartan algebra-the familiar differential graded algebra of alternating forms o…
Comparison of the geometric bar and W-constructions
Clemans Berger, Johannes Huebschmann
We show that, for a simplicial group K,the realization of the W-construction of K is naturally homeomorphic to the universal bundle of its geometric realization. The argument invol…
Poisson cohomology and quantization
Johannes Huebschmann
Let R be a commutative ring, and let A be a Poisson algebra over R. We construct an (R,A)-Lie algebra structure, in the sense of Rinehart, on the A-module of Kähler differentials o…
Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras
Johannes Huebschmann
Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR a…
Exact sequences in the cohomology of a group extension
Johannes Huebschmann
In [J. of Alg. 369: 70-95, 2012], the authors constructed a seven term exact sequence in the cohomology of a group extension G of a normal subgroup N by a quotient group Q with coe…