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FREE QUANTUM ANALOGUES OF THE FIRST FUNDAMENTAL THEOREMS OF INVARIANT THEORY

Published online by Cambridge University Press:  01 July 2004

Julien Bichon
Julien Bichon
Affiliation:
Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l’Adour, IPRA, Avenue de l’université, 64000 Pau, France (julien.bichon@univ-pau.fr)
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Abstract

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We formulate and prove a free quantum analogue of the first fundamental theorems of invariant theory. More precisely, the polynomial function algebras on matrices are replaced by free algebras, while the universal cosovereign Hopf algebras play the role of the general linear group.

AMS 2000 Mathematics subject classification: Primary 16W30

Keywords

Hopf algebrasinvariant theoryfree algebras
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 2 , June 2004 , pp. 297 - 303
Copyright
Copyright © Edinburgh Mathematical Society 2004