SKT solvable Lie algebras with codimension two nilradical

2024/07/02 by Beatrice Brienza, Brienza, Beatrice, Anna Fino +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2407.02189

openalex publication_date 2024/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we study SKT and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension two nilradical. We treat separately the case of J-invariant nilradical and non J-invariant nilradical. A classification of such SKT Lie algebras in dimension six is provided. In particular, we give a general construction to extend SKT nilpotent Lie algebras to SKT solvable Lie algebras of higher dimension, and we construct new examples of SKT and generalized Kähler compact solvmanifolds.

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