Reduction of spherical functions
A.N. Panov
TL;DR
This paper uses the reduction of spherical functions to identify generators of the algebra and invariants for the coadjoint representation of certain subalgebras in simple Lie algebras.
Contribution
It introduces a method to explicitly find generators of invariants for Borel and maximal nilpotent subalgebras using spherical function reduction.
Findings
Generators of the algebra of invariants are explicitly obtained.
Generators of the field of invariants are explicitly obtained.
The method applies to coadjoint representations of specific Lie algebra subalgebras.
Abstract
Using reduction of spherical functions, we obtain generators of the algebra and the field of invariants for the coadjoint representation of Borel and maximal nilpotent subalgebras of simple Lie algebras.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic and Geometric Analysis · Mathematical Analysis and Transform Methods