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arxiv: math/0110002 · v1 · submitted 2001-09-28 · 🧮 math.RA · math.QA

Classification of quantum tori with involution

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keywords algebrasinvolutionaffineextendedquantumtoritypeappear
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Quantum tori with graded involution appear as coordinate algebras of extended affine Lie algebras of type A_1, C 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 C.

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