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Extensions of L∞ algebras of two even and one odd dimension
-
Alice Fialowski
and
Michael Penkava
Published/Copyright:
September 8, 2008
Abstract
In this article we study extensions of ℤ2-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.
Received: 2005-10-19
Revised: 2006-12-13
Published Online: 2008-09-08
Published in Print: 2008-07-01
© Walter de Gruyter
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Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
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Articles in the same Issue
- A sphere theorem for a class of Reinhardt domains with constant Levi curvature
- Weighted inequalities and Stein-Weiss potentials
- Iwasawa's Local Splitting Theorem for Pro-Lie Groups
- Secondary homotopy groups
- Calderon–Zygmund type estimates for nonlinear systems with quadratic growth on the Heisenberg group
- Extensions of L∞ algebras of two even and one odd dimension
- Expander graphs and gaps between primes
- A non-perfect surjective cellular cover of PSL(3,F(t))
