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 show that these canonical forms and covariants are related to those of the binary cubic and skew-symmetric tensors of step 3 in the exterior algebra Ext(U), where dim(U)=6.
Original language | English |
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Pages (from-to) | 195-224 |
Number of pages | 30 |
Journal | Journal of Algebra |
Volume | 213 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1 1999 |
ASJC Scopus subject areas
- Algebra and Number Theory