- 95-286 Steven Duplij
- ON ALTERNATIVE SUPERMATRIX REDUCTION
Jun 16, 95
(auto. generated ps),
of related papers
Abstract. We consider a nonstandard odd reduction of
supermatrices (as compared with the standard even one) which arises
in connection with possible extension of
manifold structure group reductions. The study was initiated by consideration
generalized noninvertible superconformal-like transformations.
The features of even- and odd-reduced
supermatrices are investigated
on a par. They can be unified into some kind of "sandwich" semigroups.
Also we define a special module over even- and odd-reduced
and the generalized Cayley-Hamilton theorem is proved for them.
It is shown that the
odd-reduced supermatrices represent semigroup bands and Rees
matrix semigroups over a unit group.