Volkov's Pentagon for the Modular Quantum Dilogarithm

Mathematics – Quantum Algebra

Scientific paper

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extended version of paper published in journal "Functional Analysis and Applications" vol.45(4), 2011, p.65 (in Russian)

Scientific paper

The new form of pentagon equations suggested by Volkov for the $ q
$-exponential on the basis of formal series is derived within the Hilbert space
framework for the modular version of the quantum dilogarithm.

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