599 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Eötvös Loránd UniversityHU13 papers
- University of California San DiegoUS6 papers
- Massachusetts Institute of TechnologyUS5 papers
- University of IowaUS5 papers
- University of Wisconsin–MadisonUS5 papers
- Center for Astrophysics Harvard & SmithsonianUS4 papers
- Wayne State UniversityUS4 papers
- Embry–Riddle Aeronautical UniversityUS3 papers
- Eureka ScientificUS3 papers
- University of LiègeBE3 papers
- Arizona State UniversityUS2 papers
- CEA Paris-SaclayFR2 papers
6 papers · 1 filter
Formal deformations, contractions and moduli spaces of Lie algebras
Alice Fialowski, Michael Penkava
Jump deformations and contractions of Lie algebras are inverse concepts, but the approaches to their computations are quite different. In this paper, we contrast the two approaches…
Extensions of L_infinity algebras of two even and one odd dimension
Alice Fialowski, Michael Penkava
In this article we study extensions of Z_2-graded L_infinity algebras on a vector space of two even and one odd dimension. In particular, we determine all extensions of a super Lie…
Classification and versal deformations of L_\infinity algebras on a 2|1-dimensional space
Derek Bodin, Alice Fialowski, Michael Penkava
This article explores \Z_2-graded L_\infinity algebra structures on a 2|1-dimensional vector space. The reader should note that our convention on the parities is the opposite of th…
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.…
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…
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…