Lie algebra actions on module categories for truncated shifted yangians

Joel Kamnitzer; Ben Webster; Alex Weekes; Oded Yacobi

doi:10.1017/fms.2024.3

Forum of Mathematics, Sigma (Jan 2024)

Lie algebra actions on module categories for truncated shifted yangians

Joel Kamnitzer,
Ben Webster,
Alex Weekes,
Oded Yacobi

Affiliations

Joel Kamnitzer: ORCiD; Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 0B9, Canada; E-mail:
Ben Webster: ORCiD; Department of Pure Mathematics, University of Waterloo & Perimeter Institute for Theoretical Physics, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada; E-mail:
Alex Weekes: ORCiD; Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, SK, S7N 5E6, Canada; E-mail:
Oded Yacobi: ORCiD; School of Mathematics and Statistics, University of Sydney, Sydney, 2006, Australia; E-mail:

DOI: https://doi.org/10.1017/fms.2024.3
Journal volume & issue: Vol. 12

Abstract

Read online

We develop a theory of parabolic induction and restriction functors relating modules over Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors generalize Bezrukavnikov-Etingof’s induction and restriction functors for Cherednik algebras, but their definition uses different tools.

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

About the journal

Abstract

Keywords