3 papers
math-ph2026
Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras
Ryo Hayami
In this paper, we consider a notion of a higher version of the relation between Courant-Dorfman algebras and Poisson vertex algebras. We define a higher Courant-Dorfman algebra, an…
math.DG2026
An integration of Lie-Leibniz triples
Ryo Hayami
In this paper, we introduce the group version of a Lie-Leibniz triple, which we call a Lie group-rack triple. We define a Lie group-rack triple whose tangent structure is a Lie-Lei…
math.GR2026
Quandles from gauge transformations
Ryo Hayami
In this paper, we investigate a quandle structure induced by an augmented rack arising from a gauge transformation group. We construct a quandle from a principal bundle and its dis…