New Integral Representations of Whittaker Functions for Classical Lie Groups

Understand

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 respect to the rank of the Lie algebra gl(l+1).
• The proposed generalization of the Givental representation to the classical Lie algebras retains this property.