A path model for Whittaker vectors - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

A path model for Whittaker vectors

Abstract

In this paper we construct weighted path models to compute Whittaker vectors in the completion of Verma modules, as well as Whittaker functions of fundamental type, for all finite-dimensional simple Lie algebras, affine Lie algebras, and the quantum algebra $U_q(\mathfrak{sl}_{r+1})$. This leads to series expressions for the Whittaker functions. We show how this construction leads directly to the quantum Toda equations satisfied by these functions, and to the $q$-difference equations in the quantum case. We investigate the critical limit of affine Whittaker functions computed in this way.
Fichier principal
Vignette du fichier
1407.8423v1.pdf (388.46 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01251620 , version 1 (06-01-2016)

Identifiers

Cite

Philippe Di Francesco, R. Kedem, B. Turmunkh. A path model for Whittaker vectors. 2016. ⟨cea-01251620⟩
80 View
174 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More