On discriminants of multilinear forms
Izvestiya. Mathematics, Tome 62 (1998) no. 2, pp. 215-245
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper, an algorithm for calculating the discriminants of multilinear forms is elaborated. A technique is developed for finding the singularity conditions and other invariants for $n$-ary forms. An integral transformation for forms of degree 3 and higher (an analogue of the Gauss transformation for quadratic forms) is introduced.
@article{IM2_1998_62_2_a0,
author = {V. V. Dolotin},
title = {On discriminants of multilinear forms},
journal = {Izvestiya. Mathematics},
pages = {215--245},
year = {1998},
volume = {62},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a0/}
}
V. V. Dolotin. On discriminants of multilinear forms. Izvestiya. Mathematics, Tome 62 (1998) no. 2, pp. 215-245. http://geodesic.mathdoc.fr/item/IM2_1998_62_2_a0/
[1] Gelfand I., Kapranov M., Zelevinsky A., “Hyperdeterminants”, Adv. in Math., 22 (1993) | MR | Zbl
[2] Vinberg E. B., Popov V. L., “Invariant Theory”, Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamentalnye napravlenia, 55, 1989, 137–309 | MR | Zbl
[3] Dolotin V., On Discriminants of Multilinear Forms, E-print alg-geom/9511010 | MR
[4] Dolotin V., On Invariant Theory, E-print
[5] Dolotin V., QFT's with Action of Order Three and Higher and Degeneracy of Tensors, E-print hep-th/9706001