New integral representations of Whittaker functions for classical Lie groups
New integral representations of Whittaker functions for classical Lie groups
We propose integral representations of the Whittaker functions for the classical Lie algebras sp 2ℓ , so 2ℓ and so 2ℓ+1 .These integral representations generalize the integral representation of gl ℓ+1 -Whittaker functions first introduced by Givental.One of the salient features of the Givental representation is its recursive structure with …