New presentation of the twisted Yangian of type D

2025/07/01 by Shuichi Harako, Harako, Shuichi, Mamoru Ueda +1 · 2 citations
Mathematics · #16T20 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Holomorphic and Operator Theory #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2507.00350

openalex publication_date 2025/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a new presentation of the twisted Yangian of type D with a finite number of generators. By using this presentation, we propose a new definition of the twisted affine Yangian of type D.

Citations

• Shifted twisted Yangians and finite W-algebras of classical type
• A Drinfeld type presentation of twisted Yangians of quasi-split type
• A Lax type operator for quantum finite W-algebras
• Twisted Yangians and finite W-algebras

Cited by

• Suggestion of a definition of the twisted affine Yangian of type D
• Minimalistic Presentation and Coideal Structure of Twisted Yangians

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