Canonical forms of two by two by two matrices

Authors
Ehrenborg, R
Citation
R. Ehrenborg, Canonical forms of two by two by two matrices, J ALGEBRA, 213(1), 1999, pp. 195-224
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
213
Issue
1
Year of publication
1999
Pages
195 - 224
Database
ISI
SICI code
0021-8693(19990301)213:1<195:CFOTBT>2.0.ZU;2-Q
Abstract
We determine the canonical forms of two by two by two matrices, In order to do so, we present a collection of covariants that separates the canonical forms. The covariants also fulfill a number of identities. Moreover, we sho w that these canonical forms and covariants are related to those of the bin ary cubic and skew-symmetric tensors of step 3 in the exterior algebra Ext( U), where dim(U) = 6. (C) 1999 Academic Press.