On enveloping skew fields of some Lie superalgebras

DOI10.1142/S0219498816500717zbMath1405.17024arXiv1411.5293WikidataQ115245652 ScholiaQ115245652MaRDI QIDQ2797026

François Dumas, Jacques Alev

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5293

zbMATH Keywords

enveloping algebrasimple Lie superalgebraWeyl skew fieldsGelfand-Kirillov hypothesis

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Infinite-dimensional and general division rings (16K40) Simple, semisimple, reductive (super)algebras (17B20) Universal enveloping algebras of Lie algebras (16S30) Associative rings of fractions and localizations (16S85)

Related Items (3)

Construction of representations of Poincaré group using Lie fields ⋮ Homogeneous localizations of some quantum enveloping superalgebras ⋮ Enveloping skewfields of the nilpotent positive part and the Borel subsuperalgebra of \large𝔬𝔰𝔭(1,2𝔫)

Cites Work

• Sur les corps liés aux algèbres enveloppantes des algèbres de Lie
• Micu-type invariants for the Casimir operators of the Lie superalgebras osp(1,2n): application to the algebra osp(1,4)
• A Lie superalgebraic interpretation of the para-Bose statistics
• The enveloping algebra of the Lie superalgebra 𝑜𝑠𝑝(1,2𝑟)
• The quantum superalgebra U_q(osp(1/2n)): deformed para-Bose operators and root of unity representations
• Unnamed Item

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