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# Classification of Quantum Tori with Involution

Published:2002-12-01
Printed: Dec 2002
• Yoji Yoshii
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## Abstract

Quantum tori with graded involution appear as coordinate algebras of extended affine Lie algebras of type $\rmA_1$, $\rmC$ and $\BC$. We classify them in the category of algebras with involution. From this, we obtain precise information on the root systems of extended affine Lie algebras of type $\rmC$.
 MSC Classifications: 16W50 - Graded rings and modules