6 citations · 6 across the 4 of their papers we have counts for
5 papers
On the convergence of Kac-Moody Eisenstein series
Lisa Carbone, Howard Garland, Kyu-Hwan Lee +2
Let be a representation-theoretic Kac--Moody group associated to a nonsingular symmetrizable generalized Cartan matrix. We first consider Kac-Moody analogs of Borel Eisenstein…
Entirety of cuspidal Eisenstein series on loop groups
Howard Garland, Stephen D. Miller, Manish M. Patnaik
In this paper, we prove the entirety of loop group Eisenstein series induced from cusp forms on the underlying finite dimensional group, by demonstrating their absolute convergence…
An affine Gindikin-Karpelevich formula
Alexander Braverman, Howard Garland, David Kazhdan +1
In this paper we give an elementary proof of certain finiteness results about affine Kac-Moody groups over a local non-archimedian field K. Our results imply those proven earlier b…
On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups
Howard Garland
We discuss certain Eisenstein series on arithmetic quotients of loop groups, G^, which are associated to cusp forms on finite-dimensional groups associated with maximal parabolics…
Affine Hecke algebras associated to Kac-Moody groups
H. Garland, I. Grojnowski
In this paper we give a geometric construction of Cherednik's double affine Hecke algebra. We construct the algebra as the equivariant -theory of the Lagrangian subvariety of th…