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On nonsingular two-step nilpotent Lie algebras by Lauret, Jorge; Oscari, David is a scholarly article available to read on EtoBox.

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A 2-step nilpotent Lie algebra n is called nonsingular if ad(X): n --> [n,n] is onto for any X not in [n,n]. 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.

Author

Lauret, Jorge; Oscari, David

Published

2012

Language

EN