e-mail: chervov@vxitep.itep.ru

**Raising operators for the Whittaker wave functions
of the Toda chain and intertwining operators**

**Abstract**

Intertwiners between representations of Lie groups can be used
to obtain relations for matrix elements. We apply this technique to obtain
different identities for the wave functions of the open Toda chain, in
particular raising operators and bilinear relations for the wave
functions at different energy levels. We also recall the group theory
approach to the Toda chain: treating the wave functions as matrix elements
in irreducible representations between the so-called Whittaker vectors,
integral representations of the wave functions, etc.