Finite $W$-algebra invariants via Lax type operators

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.

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Bibliographic Details
Main Author:	Brown, Jonathan S
Format:	Journal Article
Language:	English
Published:	11-06-2024
Subjects:	Mathematics - Quantum Algebra Mathematics - Representation Theory Mathematics - Rings and Algebras
Online Access:	Get full text
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Description
Summary:	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.
DOI:	10.48550/arxiv.2406.07350