Proper Self-Similar Triangle Tiling and Representing Weight Diagrams in the Plane

DOI10.1007/978-3-030-23531-4_9zbMath1436.17012OpenAlexW2981126054MaRDI QIDQ3296300

Anthony Joseph

Publication date: 7 July 2020

Published in: Representations and Nilpotent Orbits of Lie Algebraic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-23531-4_9

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

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• An algebraic slice in the coadjoint space of the Borel and the Coxeter element
• A pentagonal crystal, the golden section, alcove packing and aperiodic tilings
• Pentaplexity. A class of non-periodic tilings of the plane
• The construction of self-similar tilings
• Dual Kashiwara functions for the \(B(\infty)\) crystal
• The entropies of topological Markov shifts and a related class of algebraic integers
• The Betti Numbers of the Simple Lie Groups

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