Division algebras: a tool for Space-Time Coding

                 Frederique Oggier
   Center for the Mathematics of Information
       California Institute of Technology

ABSTRACT:  Division algebras are objects coming from the area of 
non-commutative algebra. Traditionally studied as pure mathematical 
objects, they have been recently shown to be a powerful tool for designing 
codes for multiple antennas channels (also called Space-Time codes).

In this first talk, I will explain what are the main design criteria 
for the design of Space-Time codes (when we assume the receiver knows 
the channel), and introduce algebraic background to understand what are 
division algebras and why they are an intrinsically suitable tool 
for designing Space-Time codes.