Geodesic
Classification of Quantum Tori with Involution
Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 711-731

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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 $\text{C}$ .
DOI : 10.4153/CMB-2002-063-0
Mots-clés : 16W50 
Yoshii, Yoji. Classification of Quantum Tori with Involution. Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 711-731. doi: 10.4153/CMB-2002-063-0
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     title = {Classification of {Quantum} {Tori} with {Involution}},
     journal = {Canadian mathematical bulletin},
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     year = {2002},
     volume = {45},
     number = {4},
     doi = {10.4153/CMB-2002-063-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-063-0/}
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