Plethysm Stability of Schur's Q-functions

2024/09/02 by Graf, John, Jing, Naihuan · 1 citation
#05E05 #05E10 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2409.01479

Abstract

Schur functions has been shown to satisfy certain plethysm stability properties and recurrence relations. In this paper, use vertex operator methods to study analogous stability properties of Schur's Q-functions. Although the two functions have similar stability properties, we find a special case where the plethysm of Schur's Q-functions exhibits linear increase.

Cited by

• Constructing Hall-Littlewood Functions via a Deformation of the Bernstein Operator

Related

• Two stability theorems on plethysms of Schur functions
• The first term of plethysms
• A geometric and generating function approach to plethysm
• The classification of multiplicity-free plethysms of Schur functions
• Stability Properties Of The Plethysm: A Combinatorial Approach