Access the full text.
Sign up today, get DeepDyve free for 14 days.
Marilyn Daily (2004)
L ∞ Structures on Spaces with Three One-Dimensional ComponentsCommunications in Algebra, 32
R. Fulp, T. Lada, J. Stasheff (2000)
sh-Lie Algebras Induced by Gauge TransformationsCommunications in Mathematical Physics, 231
G. Barnich, R. Fulp, Tomasz Lada, J. Stasheff (1997)
The sh Lie Structure of Poisson Brackets in Field TheoryCommunications in Mathematical Physics, 191
Dmitry Roytenberg, A. Weinstein (1998)
Courant Algebroids and Strongly and Strongly Homotopy Lie AlgebrasLetters in Mathematical Physics, 46
T. Lada, M. Markl (1994)
Strongly homotopy Lie algebrasCommunications in Algebra, 23
A. Fialowski, M. Penkava (2005)
VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L∞ ALGEBRASCommunications in Contemporary Mathematics, 07
A. Fialowski, M. Penkava (2003)
Strongly homotopy Lie algebras of one even and two odd dimensionsJournal of Algebra, 283
Dmitry Roytenberg, A. Weinstein (1998)
Courant Algebroids and Strongly Homotopy Lie AlgebrasarXiv: Quantum Algebra
M. Schlessinger, J. Stasheff (1985)
The Lie algebra structure of tangent cohomology and deformation theoryJournal of Pure and Applied Algebra, 38
M. Markl (1997)
Loop Homotopy Algebras in Closed String Field TheoryCommunications in Mathematical Physics, 221
V. Hinich, V. Schechtman (1993)
Homotopy Lie algebras
T. Lada, J. Stasheff (1992)
Introduction to SH Lie algebras for physicistsInternational Journal of Theoretical Physics, 32
B. Zwiebach (1992)
Closed string field theory: Quantum action and the Batalin-Vilkovisky master equationNuclear Physics, 390
A. Fialowski, M. Penkava (2001)
DEFORMATION THEORY OF INFINITY ALGEBRASJournal of Algebra, 255
J. Stasheff (1993)
Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli spacearXiv: High Energy Physics - Theory
M. Alexandrov, A. Schwarz, O. Zaboronsky, M. Kontsevich (1995)
The Geometry of the Master Equation and Topological Quantum Field TheoryInternational Journal of Modern Physics A, 12
Derek Bodin, A. Fialowski, M. Penkava (2005)
Classification and versal deformations of $L_{\infty}$ algebras on a $2\vert 1$-dimensional spaceHomology, Homotopy and Applications, 7
A. Fialowski, M. Penkava (2001)
Examples of infinity and Lie algebras and their versal deformationsarXiv: Quantum Algebra
M. Penkava (1996)
Infinity Algebras and the Homology of Graph ComplexesarXiv: Quantum Algebra
In this article we study extensions of ℤ 2 -graded L ∞ algebras on a vector space of two even and one odd dimension. In particular, we determine all extensions of a super Lie algebra as an L ∞ algebra. Our convention on the parities is the opposite of the usual one, because we define our structures on the symmetric coalgebra of the parity reversion of a space. 2000 Mathematics Subject Classification: 14D15, 13D10, 14B12, 16S80, 16E40, 17B55, 17B70.
Forum Mathematicum – de Gruyter
Published: Jul 1, 2008
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.