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Constructible representations and Catalan numbers

George Lusztig and Eric Sommers

Vol. 336 (2025), No. 1-2, 339–349
Abstract

We establish a connection between constructible representations (arising in the study of left cells in Weyl groups) and Catalan numbers.

Dedicated to the memory of Gary Seitz

Keywords
algebraic group, constructible representation, Catalan number
Mathematical Subject Classification
Primary: 20G99
Milestones
Received: 7 April 2024
Revised: 26 July 2024
Accepted: 3 August 2024
Published: 26 May 2025
Authors
George Lusztig
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA
United States
Eric Sommers
Department of Mathematics and Statistics
University of Massachusetts Amherst
Amherst, MA
United States

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