A. N. Panov, “Reduction of spherical functions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, Issue 6(80),Pages <nobr>54

Mathematics

Reduction of spherical functions

A. N. Panov

Dept. of Algebra and Geometry, Samara State University, Samara, 443011, Russian Federation

Abstract: Using reduction of spherical functions we obtain generators of the algebra and fields of invariants for the coadjoint representation of Borel and maximal unipotent subalgebras of simple Lie algebras.

Keywords: spherical function, coadjoint representation, algebra of invariants.

UDC: 512.815.4

Received: 14.06.2010
Revised: 14.06.2010