Twisted Affine Yangian and Rectangular W-algebra of type D

2021/07/21 by Mamoru Ueda, Ueda, Mamoru
Mathematics · #17B37 #17B69 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2107.09999

openalex publication_date 2021/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define the twisted affine Yangian of type C and construct surjective homomorphisms from twisted affine Yangians of type C to the universal enveloping algebra of the rectangular W-algebra associated with \mathfrakso(ln) and a nilpotent element whose Jordan form corresponds to the partition (lⁿ) in the case when l and n are even.

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