Geodesic
Quantum Algebraic Tori
Matematičeskie zametki, Tome 69 (2001) no. 4, pp. 591-599

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, quantum algebraic tori over an arbitrary field are studied. A characterization of quantum algebraic tori in terms of exact sequences is given. A description of the center is obtained. In the case of roots of unity, a quantum torus defines a family of central simple algebras over the spectrum of the center. For quantum tori of dimension 2, systems of generating elements are constructed and defining relations are written out. The case of roots of unity is considered. 
@article{MZM_2001_69_4_a6,
     author = {A. N. Panov},
     title = {Quantum {Algebraic} {Tori}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {591--599},
     publisher = {mathdoc},
     volume = {69},
     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_4_a6/}
}
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A. N. Panov. Quantum Algebraic Tori. Matematičeskie zametki, Tome 69 (2001) no. 4, pp. 591-599. http://geodesic.mathdoc.fr/item/MZM_2001_69_4_a6/