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Mathematics > Quantum Algebra

Title: Yangian of the periplectic Lie superalgebra

Authors: Maxim Nazarov
(Submitted on 28 Feb 2024 (v1), last revised 27 Mar 2024 (this version, v2))
Abstract: We study in detail the Yangian of the periplectic Lie superalgebra. For this Yangian we verify an analogue of the Poincar\'e-Birkhoff-Witt Theorem. Moreover we introduce a family of free generators of the centre of this Yangian.
Comments: Section 26 added
Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT); Exactly Solvable and Integrable Systems (nlin.SI)
MSC classes: 16T20, 17A70, 17B37
Cite as: arXiv:2402.18501 [math.QA]
  (or arXiv:2402.18501v2 [math.QA] for this version)

Submission history

From: Maxim Nazarov [view email]
[v1] Wed, 28 Feb 2024 17:29:23 GMT (44kb)
[v2] Wed, 27 Mar 2024 12:57:47 GMT (45kb)
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