On the minimum polynomial of supermatrices

Fellouris, AG; Matiadou, LK

dc.contributor.author	Fellouris, AG	en
dc.contributor.author	Matiadou, LK	en
dc.date.accessioned	2014-03-01T01:18:09Z
dc.date.available	2014-03-01T01:18:09Z
dc.date.issued	2002	en
dc.identifier.issn	0305-4470	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14828
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	CAYLEY-HAMILTON THEOREM	en
dc.subject.other	SUPERGRAVITY	en
dc.title	On the minimum polynomial of supermatrices	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0305-4470/35/43/313	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0305-4470/35/43/313	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper, a new selection of factors for the construction of the minimum polynomial of a supermatrix M is proposed, leading to null polynomials of M of lower degree than the degree of the corresponding polynomial obtained by using the method proposed in the work of Urrutia and Morales [I]. The case of (1 + 1) x (1 + 1) supermatrices has been completely discussed. Moreover, the main theorem concerning the construction of the minimum polynomial as a product of factors from the characteristic polynomial in the general case of (m + n) x (m + n) supermatrices is given. Finally, we prove that the minimum polynomial of a supermatrix M, in general, is not unique.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Journal of Physics A: Mathematical and General	en
dc.identifier.doi	10.1088/0305-4470/35/43/313	en
dc.identifier.isi	ISI:000179395900013	en
dc.identifier.volume	35	en
dc.identifier.issue	43	en
dc.identifier.spage	9183	en
dc.identifier.epage	9197	en