How quickly do we generate the matrix algebra?
Dr. Christopher Pappacena
Department of Mathematics
University of Colorado, Colorado Springs
and candidate for the Algebra position
Let F be a field and let Mn(F) be the full ring of n by n matrices over F. Let S be a finite set of matrices generating Mn(F) as an algebra. In this talk, we look at how quickly such a set S generates Mn(F). By this we mean, how many multiplications (among elements of S) are required to pick up a basis for the algebra?
Friday, 5 March 1999
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)
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