Quantum algebraic tori

Mathematics – Quantum Algebra

Scientific paper

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10 pages, LATEX

Scientific paper

The author introduces the notion of a quantum form of an algebraic torus. In
the case of diagonal algebraic torus we get the algebra of Laurent twisted
polynomials. Quantum algebraic torus can be characterized in terms of exact
sequences. The author study the center of QAT. In the case of roots of 1 the
new examples of central simple algebras are constructed.

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