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Classification of Quantum Tori with Involution |
Canad. Math. Bull. 45(2002), 711-731
Published:2002-12-01
Printed: Dec 2002
Printed: Dec 2002
- Yoji Yoshii
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 |