# Tetrahedron equation and cyclic quantum dilogarithm identities

@article{Bytsko2013TetrahedronEA, title={Tetrahedron equation and cyclic quantum dilogarithm identities}, author={Andrei Bytsko and A. Yu. Volkov}, journal={arXiv: Quantum Algebra}, year={2013} }

We establish a hierarchy of quantum dilogarithm identities associated to a sequence of triangular shaped quivers. The tetrahedron equation plays a key role in our construction.

## 7 Citations

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We derive a family of solutions to the tetrahedron equation using the RTT presentation of a two parametric quantized algebra of regular functions on an upper triangular subgroup of GL(n). The key…

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We show that two involutions on the variety N n of upper triangular totally positive matrices are related, on the one hand, to the tetrahedron equation and, on the other hand, to the action of the…

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### Simplex and Polygon Equations

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