20 citations · 64 across the 28 of their papers we have counts for
35 papers
Restrictions of the dot action representation
Hsin-Chieh Liao, Martha Precup, John Shareshian
Regular semisimple Hessenberg varieties are subvarieties of flag varieties defined for any reductive group. Their cohomology carries a representation of the associated Weyl group,…
Infinitely many finite simple groups of Lie type are not generated invariably by two elements of prime order
Robert M. Guralnick, John Shareshian, Russ Woodroofe
We show that there are infinitely many k for which Sp_{2k}(2) is not generated invariably by two elements of prime order.
Sprout Symmetric Functions: Part 1
Tewodros Amdeberhan, John Shareshian, Richard P. Stanley
A \emph{sprout sequence} is a sequence $\frakr=(R_0=1,R_1,R_2,\dots)$ of symmetric functions in the variables $\bmx=(x_1,x_2,\dots)$ over a field generated from a power series…
Posets of decompositions in spherical buildings
Kevin Ivan Piterman, John Shareshian, Volkmar Welker
We propose definitions of the common bases complex, the poset of decompositions, and the poset of partial decompositions for arbitrary spherical buildings. We show that the poset o…
Counting in nilpotent injectors and Carter subgroups
Stefanos Aivazidis, Maria Loukaki, John Shareshian
We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or -constr…
Gamma vectors of partitioned permutohedra
Tatsuya Horiguchi, Mikiya Masuda, Takashi Sato +2
We determine that -vectors of partitioned permutohedra, thereby generalizing a result of Foata and Schützenberger. Our result is closely related to a result of Athanasiadis on t…