This article is cited in 23 papers

Orbits and invariants of cubic matrices of order three

A. G. Nurmiev

M. V. Lomonosov Moscow State University

Abstract: Let $V_i$, $i=1, 2, 3$, be a three-dimensional complex vector space. For the natural linear representation of the group $\operatorname{SL}(V_1)\times\operatorname{SL}(V_2)\times \operatorname{SL}(V_3)$ in the space $V_1\otimes V_2\otimes V_3$ the orbits are classified and generators of the algebra of invariants are described.

UDC: 512.815.4

MSC: Primary 22E46, 57S25; Secondary 22E45

Received: 22.06.1999

DOI: 10.4213/sm478

 English version: Sbornik: Mathematics, 2000, 191:5, 717–724

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