output
19962024
most citedModules for Experiments in Stellar Astrophysics (MESA): Time-Dependent Convection, Energy Conservation, Automatic Differentiation, and Infrastructure

599 citations

Showing math.QAShow all

6 papers · 1 filter

math.QA2007★ 13 cited

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…

math.QA2004

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…

math.QA2004

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…

math.QA2003★ 1 cited

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.…

math.QA2001

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…

math.QA1998★ 1 cited

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…