INVESTIGADORES
LAURET Jorge Ruben
artículos
Título:
On nonsingular 2-step nilpotent Lie algebras
Autor/es:
JORGE LAURET; DAVID OSCARI
Revista:
MATHEMATICAL RESEARCH LETTERS
Editorial:
INT PRESS BOSTON, INC
Referencias:
Año: 2014 vol. 21 p. 553 - 583
ISSN:
1073-2780
Resumen:
We explore nonsingular algebras in several directions, including the classification problem (isomorphism invariants), the existence of canonical inner products (nilsolitons) and their automorphism groups (maximality properties). Our main tools are the moment map for certain real reductive representations, and the Pfaffian form of a $2$-step algebra, which is a positive homogeneous polynomial in the nonsingular case.