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Euler's beta function and pentagon relations

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Publication:490032
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DOI10.1007/s40306-014-0080-1zbMath1311.81142OpenAlexW2078945109MaRDI QIDQ490032

Rinat M. Kashaev

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-014-0080-1


zbMATH Keywords

beta functionintegral pentagon relation


Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Applications of Lie (super)algebras to physics, etc. (17B81) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Isotopy and pseudo-isotopy (57N37) Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions (32B25)


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On Bailey pairs for \(\mathcal{N} = 2\) supersymmetric gauge theories on \(S_b^3/\mathbb{Z}_r\)



Cites Work

  • Unnamed Item
  • A TQFT of Turaev-Viro type on shaped triangulations
  • State sum invariants of 3-manifolds and quantum \(6j\)-symbols
  • On pentagon, ten-term, and tetrahedron relations
  • On the elliptic beta function
  • Theoretical studies in nuclear structure V. The matrix elements of non-central forces with an application to the 2 p -shell
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