64 citations · 295 across the 51 of their papers we have counts for
37 papers · 1 filter
Schur--Weyl duality for diagonalizing a Markov chain on the hypercube
Persi Diaconis, Andrew Lin, Arun Ram
We show how the tools of modern algebraic combinatorics -- representation theory, Murphy elements, and particularly Schur--Weyl duality -- can be used to give an explicit orthonorm…
Clebsch-Gordan coefficients for Macdonald polynomials
Aritra Bhattacharya, Arun Ram
In this paper we use the double affine Hecke algebra to compute the Macdonald polynomial products and for type and type Macdonald polynomial…
Calibrated representations of two boundary Temperley-Lieb algebras
Zajj Daugherty, Arun Ram
The two boundary Temperley-Lieb algebra arises in the transfer matrix formulation of lattice models in Statistical Mechanics, in particular in the introduction of integrable…
Positive level, negative level and level zero
Finn McGlade, Arun Ram, Yaping Yang
This is a survey on the combinatorics and geometry of integrable representations of quantum affine Lie algebras with a particular focus on level 0. Pictures and examples are includ…
The thickness of Schubert cells as incidence structures
John Bamberg, Arun Ram, Jon Xu
This paper explores the possible use of Schubert cells and Schubert varieties in finite geometry, particularly in regard to the question of whether these objects might be a source…
Two boundary Hecke Algebras and combinatorics of type C
Zajj Daugherty, Arun Ram
This paper gives a Schur-Weyl duality approach to the representation theory of the affine Hecke algebras of type C with unequal parameters. The first step is to realize the affine…