Generators of the quantum finite W-algebras in type A-Reference-Cited by-同舟云学术

Generators of the quantum finite W-algebras in type A

Published:2019-10-29 Issue:09 Volume:19 Page:2050175
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

De Sole Alberto¹,Fedele Laura²,Valeri Daniele³

Affiliation:

1. Dipartimento di Matematica, Sapienza Università di Roma, P.le Aldo Moro 2, 00185 Rome, Italy

2. Institut de Mathématiques de Jussieu – Paris (IMJ-PRG), 8 Place Aurélie Nemours – 75205 PARIS Cedex 13, France

3. School of Mathematics and Statistics, University of Glasgow, G12 8QQ Glasgow, UK

Abstract

We prove a conjecture proposed in [A. De Sole, V. G. Kac and D. Valeri, Finite [Formula: see text]-algebras for [Formula: see text], Adv. Math. 327 (2018) 173–224.] describing the Lax type operator [Formula: see text] for the quantum finite [Formula: see text]-algebras of [Formula: see text] in terms of a PBW generating system for the [Formula: see text]-algebra. In doing so, we extend this result to an arbitrary good grading and an arbitrary isotropic subspace of [Formula: see text].

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501753

Reference25 articles.

1. W-Symmetry

2. Good grading polytopes

3. Parabolic Presentations of the Yangian

4. Shifted Yangians and finiteW-algebras

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