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Classification of Quantum Tori with Involution

Published online by Cambridge University Press:  20 November 2018

Yoji Yoshii
Yoji Yoshii*
Affiliation:
Department of Mathematical Sciences University of Alberta Edmonton, Alberta T6G 2G1, email: yoshii@math.ualberta.ca
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Abstract

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Quantum tori with graded involution appear as coordinate algebras of extended affine Lie algebras of type ${{\text{A}}_{1}}$, $\text{C}$ and $\text{BC}$. 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 $\text{C}$.

Keywords

16W50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 4 , 01 December 2002 , pp. 711 - 731
Copyright
Copyright © Canadian Mathematical Society 2002

References

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