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Quantum Lie algebras of type A_n

Volodimir Lyubashenko·Anthony Sudbery
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Abstract

It is shown that the quantised enveloping algebra of sl(n) contains a quantum Lie algebra, defined by means of axioms similar to Woronowicz's., This gives rise to Lie algebra-like generators and relations for the locally finite part of the quantised enveloping algebra, and suggests a canonical Poincare-Birkhoff-Witt basis.

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BibTeXRIS

Volodimir Lyubashenko, Anthony Sudbery. 1995-12-07. Quantum Lie algebras of type A_n. https://arxiv.org/abs/q-alg/9510004

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