FREE QUANTUM ANALOGUES OF THE FIRST FUNDAMENTAL THEOREMS OF INVARIANT THEORY

FREE QUANTUM ANALOGUES OF THE FIRST FUNDAMENTAL THEOREMS OF INVARIANT THEORY

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 Mathemat...

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2004-06, Vol.47 (2), p.297-303
1. Verfasser: Bichon, Julien
Format: Artikel
Sprache:eng
Schlagworte:
free algebras
Hopf algebras
invariant theory
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Zusammenfassung: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
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091503000373