La théorie des invariants des formes quadratiques ternaires revisitée

Details La théorie des invariants des formes quadratiques ternaires revisitée La théorie des invariants des formes quadratiques ternaires revisitée

2008-05-27

arxiv.org/abs/0805.4135v1

Mathematics

Rings and Algebras

Scientific paper

The simultaneous invariants of 2, 3, 4 and 5 ternary quadratic forms under
the group $\SL(3, {\Bbb C})$ were given by several authors (P. Gordan, C.
Ciamberlini, H.W. Turnbull, J.A Todd), utilizing the symbolic method. Using the
Jordan algebra structure of the space of ternary quadratic forms, we give these
invariants explicitely.

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