Finite W-algebra invariants via Lax type operators

2024/06/11 by J. S. Brown, Brown, Jonathan S.
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Banach Space Theory #FOS: Mathematics #Holomorphic and Operator Theory #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2406.07350

openalex publication_date 2024/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use variations on Lax type operators to find explicit formulas for certain elements of finite W-algebras. These give a complete set of generators for all finite W-algebras of types B,C,D for which the Dynkin grading is even.

Related

• Generators of the quantum finite W-algebras in type A
• W-algebras via Lax type operators
• Finite W-algebras
• Weak generators of W-algebras for type A
• W-Algebras Extending Affine gl(1|1)