Higher dimensional Cayley-Dickson algebras
and applications
Guillermo Moreno
CINVESTAV del I.P.N (MEXICO)
and
University of Oregon
Abstract: The higher dimensional Cayley Dickson
(C-D) algebras(over the
real numbers) are the non-associative (non alternative)
generalization of
the Hamilton quaternions ,in dimension 4, and the Cayley
octonions
in dimension 8 to dimensions powers of 2 i.e. 16,32,
64,..
In this talk we will present new results about the inner
structure
of the C-D algebras,and some applications in algebraic
topology
namely, we will construct quaternionic vector bundles
on
the complex projective spaces CP^m when m=2^n -2 and
n>2.
Past and upcoming 2000-2001 Ring Theory Speakers
1999-2000 Ring Theory Speakers