3 papers
math.RT2021
Tits groups of Iwahori-Weyl groups and presentations of Hecke algebras
Radhika Ganapathy, Xuhua He
Let be a connected reductive group over a non-archimedean local field and be an Iwahori subgroup of . Let is the -th Moy-Prasad filtration subgroup of $I…
math.NT2018
Congruences of parahoric group schemes
Radhika Ganapathy
Let be a non-archimedean local field and let be a torus over . With $\cT^{NR}$ denoting the Néron-Raynaud model of , a result of Chai and Yu asserts that the model $\…
math.NT2015
Explicit construction of Ramanujan bigraphs
Cristina Ballantine, Brooke Feigon, Radhika Ganapathy +3
We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of $SU_3(\m…