Extended affine Lie algebras and their vertex representations

DOI10.2977/prims/1195173183zbMath0693.17009OpenAlexW2062985284MaRDI QIDQ584371

Hirotsugu K. Yamada

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173183

zbMATH Keywords

Weyl groupvertex operatorsaffine Lie algebraextended affine root system

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Root systems (17B22)

Related Items

A class of integrable modules for the core of EALA coordinatized by quantum tori ⋮ Vertex operator realizations of conformal superalgebras ⋮ Imaginary Verma Modules for the Extended Affine Lie Algebrasl₂(ℂ_q) ⋮ Unitary Modules for EALAs Co-ordinatized by a Quantum Torus ⋮ Universal central extensions of elliptic affine Lie algebras ⋮ Double loop algebras and elliptic root systems ⋮ A Generalization of Extended Affine Lie Algebras ⋮ The theta function associated to the elliptic root system ⋮ AUTOMORPHISMS OF TOROIDAL LIE ALGEBRAS AND THEIR CENTRAL QUOTIENTS ⋮ A unified view of some vertex operator constructions ⋮ Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus ⋮ Extended affine root system. IV: Simply-laced elliptic Lie algebras ⋮ Elliptic Lie algebras and tubular algebras.

Cites Work

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• Extended affine root systems. I: Coxeter transformations
• Infinite-dimensional Lie algebras, theta functions and modular forms
• Basic representations of affine Lie algebras and dual resonance models
• Root systems and elliptic curves

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