Subject: for the list
Date: Wed, 8 Jan 2003 12:28:02 -0500 (EST)
From: "W. Stephen Wilson"
We (Gerd Laures, Nitu Kitchloo and myself) have a question.
We know how to prove this so we don't need more proofs.
We are curious if there is an explicit reference in
the literature for the result.
Say you have the category of connected graded
bicommutative biassociative Hopf algebras over Z/p.
(an abelian category).
If you had a short exact sequence:
A -> B -> C
with A cofree as a coalgebra and C poly (i.e. free as an
algebra) we can show that the extension is trivial in
the category of Hopf alebras, i.e. B is just the tensor
product of A and B as Hopf alebras.
Any explicit references?
Thanks.
Steve
W. Stephen Wilson (410) 516-7413
Department of Mathematics FAX (410) 516-5549
Johns Hopkins University
Baltimore, MD 21218 wsw@math.jhu.edu
http://www.math.jhu.edu/~wsw/