10 citations · 14 across the 3 of their papers we have counts for
6 papers · 1 filter
Strongly Homotopy Lie Algebras of One Even and Two Odd Dimensions
Alice Fialowski, Michael Penkava
We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to -dimensional -graded Lie algebras.…
Volume of representation varieties
Motohico Mulase, Michael Penkava
We introduce the notion of volume of the representation variety of a finitely presented discrete group in a compact Lie group using the push-forward measure associated to a map def…
Infinity Algebras, Cohomology and Cyclic Cohomology, and Infinitesimal Deformations
Michael Penkava
An A-infinity algebra is given by a codifferential on the tensor coalgebra of a (graded) vector space. An associative algebra is a special case of an A-infinity algebra, determined…
Examples of infinity and Lie algebras and their versal deformations
Alice Fialowski, Michael Penkava
This article explores some simple examples of L-infinity algebras and the construction of miniversal deformations of these structures. Among other things, it is shown that there ar…
Infinity Algebras, Massey Products, and Deformations
Michael Penkava, Lynelle Weldon
In this paper we give some examples of generalized Massey products, arising from deformations of A-infinity and L-infinity algebras. The generalized Massey products are given by ce…
Deformation Quantization of Polynomial Poisson Algebras
Michael Penkava, Pol Vanhaecke
This paper discusses the notion of a deformation quantization for an arbitrary polynomial Poisson algebra A. We examine the Hochschild cohomology group H^3(A) and find that if a de…