Representations of filtered solvable Lie algebras

A. N. Panov

Samara State University

Abstract: The representation theory of filtered solvable Lie algebras is constructed. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are found.
Bibliography: 9 titles.

Keywords: filtrations of Lie algebras, representations of Lie algebras, orbit method, Vergne polarization.

UDC: 512.554.3

MSC: 17B10, 17B30

Received: 13.10.2010

DOI: 10.4213/sm7799

 English version: Sbornik: Mathematics, 2012, 203:1, 75–87

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