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 |
|---|---|
| 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