Diophantine equations, platonic solids, McKay correspondence, equivelar maps and Vogel's universality

DOI10.1016/j.geomphys.2016.11.021zbMath1380.11023arXiv1604.06062OpenAlexW2339785428MaRDI QIDQ512083

R. L. Mkrtchyan, Hovhannes M. Khudaverdian

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06062

zbMATH Keywords

regular mapssimple Lie algebrasMcKay correspondenceDiophantine equationsVogel's universality

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Cubic and quartic Diophantine equations (11D25) Simple, semisimple, reductive (super)algebras (17B20) McKay correspondence (14E16)

Related Items (4)

On linear resolvability of universal quantum dimensions ⋮ On universal quantum dimensions ⋮ Split Casimir operator for simple Lie algebras, solutions of Yang–Baxter equations, and Vogel parameters ⋮ X ₂ series of universal quantum dimensions

Cites Work

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• Algebraic structures on modules of diagrams
• Nonperturbative universal Chern-Simons theory
• On the road map of Vogel's plane
• Star polytopes and the Schläfli function f(\(\alpha\) ,\(\beta\) ,\(\gamma\) )
• Universality in Chern-Simons theory
• Abstract Regular Polytopes

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