8 citations · 45 across the 28 of their papers we have counts for
29 papers
A partial order on the 240 packings of PG(3,2)
R. M. Green
It has long been known that the most symmetrical solutions of Kirkman's Schoolgirl Problem can be constructed from the packings of the projective space , but it see…
Positivity properties for spherical functions of maximal Young subgroups
R. M. Green
Let be a maximal Young subgroup of the symmetric group . We introduce a basis for the coset space that is na…
2-roots for simply laced Weyl groups
R. M. Green, Tianyuan Xu
We introduce and study "2-roots", which are symmetrized tensor products of orthogonal roots of Kac--Moody algebras. We concentrate on the case where is the Weyl group of a simp…
Coxeter group actions and limits of hypergeometric series
Richard M. Green, Ilia D. Mishev, Eric Stade
In this paper, we use combinatorial group theory and a limiting process to connect various types of hypergeometric series, and of relations among such series. We begin with a set $…
The nil Temperley--Lieb algebra of type affine C
R. M. Green
We introduce a type affine analogue of the nil Temperley--Lieb algebra, in terms of generators and relations. We show that this algebra , which is a quotient of the posit…
Relations among complementary and supplementary pairings of Saalschutzian 4F3(1) series
R. M. Green, Ilia D. Mishev, Eric Stade
We investigate sums and of pairs of (suitably normalized) Saalschützian hypergeometric series, and develop a theory of relations among these…