The theta function associated to the elliptic root system

DOI10.1006/jabr.2001.8865zbMath1015.11014OpenAlexW1964257590MaRDI QIDQ5949391

Tadayoshi Takebayashi

Publication date: 5 August 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.8865

zbMATH Keywords

theta functionelliptic root system

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Theta series; Weil representation; theta correspondences (11F27) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Chevalley's theorem for the complex crystallographic groups

Cites Work

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• Extended affine Lie algebras and their vertex representations
• Extended affine root systems. II: Flat invariants
• Extended affine root systems. I: Coxeter transformations
• Extended affine root systems. III: Elliptic Weyl groups
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Automorphisms of the extended affine root system and modular property for the flat theta invariants