# Quantum Tori and the Structure of Elliptic Quasi-simple Lie Algebras

@article{Berman1996QuantumTA,
title={Quantum Tori and the Structure of Elliptic Quasi-simple Lie Algebras},
author={Stephen Jay Berman and Yung Gao and Ya S Krylyuk},
journal={Journal of Functional Analysis},
year={1996},
volume={135},
pages={339-389}
}
• Published 1 February 1996
• Mathematics
• Journal of Functional Analysis
Abstract We study and classify those tame irreducible elliptic quasi-simple Lie algebras which are simply laced and of rankl⩾3. The first step is to identify the core of such an algebra up to central isogeny by identifying the coordinates. When the type isDorEthe coordinates are Laurent polynomials in ν variables, while for typeAthe coordinates can be any quantum torus in ν variables. The next step is to study the universal central extension as well as the derivation algebra of the core. These…
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