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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

The Algebra of Invariants of 3 × 3 Matrices Over a Field of Arbitrary Characteristic

A. A. Lopatin Department of Mathematics, Omsk State University, Omsk, Russia; Chair of Algebra, Department of Mathematics, Omsk State University, 55A Prospect Mira, Omsk, 644077, RussiaCorrespondence[email protected]
Pages 2863-2883 | Received 01 Jan 2003, Published online: 18 Aug 2006
 
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Abstract

The least upper bound on degrees of elements of a minimal system of generators of the algebra of invariants of 3 × 3 matrices is found, and the nilpotency degree of a relatively free finitely generated algebra with the identity x 3 = 0 is established.

Mathematics Subject Classification:

Acknowledgments

The author is grateful to A. N. Zubkov for helpful advices and constant attention, to G. A. Bazhenova for help with the translation. The author is also grateful to the referee whose comments considerably improved the paper. The author is supported by RFFI (grant 01.01.00674).

Notes

#Communicated by I. Shestakov.

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