On the bosonization of the enveloping algebra of a finite dimensional Lie superalgebra

On the bosonization of the enveloping algebra of a finite dimensional Lie superalgebra

We exhibit a PI Hopf algebra that is not a finite module over its center. We survey some ring-theoretical properties of the bosonizations of enveloping algebras of Lie superalgebras.

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Bibliographische Detailangaben
Hauptverfasser: Andruskiewitsch, Nicolás, Brown, Ken A
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Quantum Algebra
Mathematics - Rings and Algebras
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Zusammenfassung:We exhibit a PI Hopf algebra that is not a finite module over its center. We survey some ring-theoretical properties of the bosonizations of enveloping algebras of Lie superalgebras.
DOI:10.48550/arxiv.2404.18641