Yangian of the periplectic Lie superalgebra

2024/02/28 by Maxim Nazarov, Nazarov, Maxim
Mathematics · Physics and Astronomy · #16T20 #17A70 #17B37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2402.18501

openalex publication_date 2024/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study in detail the Yangian of the periplectic Lie superalgebra. For this Yangian we verify an analogue of the Poincaré-Birkhoff-Witt Theorem. Moreover we introduce a family of free generators of the centre of this Yangian.

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