4 papers
Chaotic and periodic behavior of jeu de taquin on infinite Young tableaux
Daniel Herden, Markus Hunziker, Jonathan Meddaugh +9
Young tableaux are fundamental objects in algebraic combinatorics and representation theory, with operations such as promotion and jeu de taquin playing a central role in their str…
Unitarity of highest weight Harish-Chandra modules and smoothness of Schubert varieties
Zhanqiang Bai, William Q. Erickson, Markus Hunziker +1
Let be a Lie group of Hermitian type, and a highest weight Harish-Chandra module of with highest weight . In this article, we exhibit a…
Robinson-Schensted shapes arising from cycle decompositions
Martha Du Preez, William Q. Erickson, Jonathan Feigert +5
In the symmetric group , each element has an associated cycle type , a partition of that identifies the conjugacy class of . The Robinson-Schensted (RS) correspo…
A combinatorial interpretation of the Bernstein degree of unitary highest weight modules
William Q. Erickson, Markus Hunziker
The Bernstein degree () is a fundamental invariant of admissible representations of a real reductive Lie group . Our main result concerns the cl…