An extension of the Cayley-Hamilton theorem to the case of supermatrices

Details An extension of the Cayley-Hamilton theorem to the case of supermatrices An extension of the Cayley-Hamilton theorem to the case of supermatrices

1996-08-30

arxiv.org/abs/hep-th/9609010v1

Letters in Mathematical Physics, 32 (1994) 211-219

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, plain TEX

Scientific paper

Starting from the expression for the superdeterminant of $ (xI-M)$, where $M$ is an arbitrary supermatrix , we propose a definition for the corresponding characteristic polynomial and we prove that each supermatrix satisfies its characteristic equation. Depending upon the factorization properties of the basic polynomials whose ratio defines the above mentioned superdeterminant we are able to construct polynomials of lower degree which are also shown to be annihilated by the supermatrix.

Affiliated with

Also associated with

No associations

Rating

An extension of the Cayley-Hamilton theorem to the case of supermatrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An extension of the Cayley-Hamilton theorem to the case of supermatrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An extension of the Cayley-Hamilton theorem to the case of supermatrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-81923