The Binet-Cauchy theorem for the hyperdeterminant of boundary format multi-dimensional matrices

Journal of Algebra

Volumn 259, Issue 1, 2003, Pages 87-94

  Dionisi, Carla ^a   Ottaviani, Giorgio ^b  

^a Dipartimento di Matematica Applicata G Sansone   (Italy)

^b Dipartimento di Matematica U Dini   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037284070     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00537-9     Document Type: Article

References (8)

1. V. Ancona, G. Ottaviani, Unstable hyperplanes for Steiner bundles and multi-dimensional matrices, Adv. Geom. 1 (2001) 165-192.
2. A. Cayley, On the theory of linear transformations, Cambridge Math. J. 4 (1845) 1-16.
3. L. Costa, G. Ottaviani, Multi-dimensional nondegenerate matrices and instanton bundles, math.AG/0103078; Trans. Amer. Math. Soc., to appear.
4. C. Dionisi, Multi-dimensional matrices and minimal resolutions of vector bundles, PhD thesis, Dip. Matematica "R. Caccioppoli," Università di Napoli, 2000.
5. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Discriminants, Resultants and Multi-dimensional Determinants, Birkhäuser, Boston, 1994.
6. I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Hyperdeterminants, Adv. Math. 96 (1992) 226-263.
7. F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer-Verlag, New York, 1966.
8. J. Weyman, A. Zelevinsky, Singularities of hyperdeterminants, Ann. Inst. Fourier (Grenoble) 46 (3) (1996) 591-644.