Subject: query
Date: Tue, 16 Oct 2001 11:02:15 -0400 (EDT)
From: JAMES STASHEFF <stasheff@email.unc.edu>
To: dmd1@lehigh.edu

 spectral sequence of non-linear Lie algebras

Let A = R[V] the polynomial algebra on a vector space V
with basis x_i
Define a bracket on A by [x_i,x_j] = p^k_{ij}(X) x_k
where p^k_{ij}(X) is in A
i.e. is a polynomial in the variables x_i

extend the bracket by the Leibniz rule

assume p is such that the bracket satisfies Jacobi

filter A by polynomial degree
so the E_0 term contains an ordinary (linear) Lie algebra,
V with structure constants given by the constant terms of the
polynomials p

has this spectral sequence been studied?

.oooO   Jim Stasheff            jds@math.unc.edu
(UNC)   Math-UNC                (919)-962-9607
 \ (    Chapel Hill NC          FAX:(919)-962-2568
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        http://www.math.unc.edu/Faculty/jds