16 citations · 62 across the 17 of their papers we have counts for
17 papers
Lagrangian and orthogonal splittings, quasitriangular Lie bialgebras and almost complex product structures
Hugo Montani
We study Lagrangian and orthogonal splittings\textbf{\ }of quadratic vector spaces establishing an equivalence with complex product structures. Then we show that a Manin triple equ…
Double Lie algebras, semidirect product, and integrable systems
S. Capriotti, H. Montani
We study integrable systems on double Lie algebras in absence of Ad-invariant bilinear form by passing to the semidirect product with the -representation. We show that in this s…
Dirac approach to constrained submanifolds in a double loop group: from WZNW to Poisson-Lie -model
H. Montani, M. Zuccalli
We study the restriction to a family of second class constrained submanifolds in the cotangent bundle of a double Lie group, equipped with a 2-cocycle extended symplectic form, bui…
Integrable systems on semidirect product Lie groups
S. Capriotti, H. Montani
We study integrable systems on the semidirect product of a Lie group and its Lie algebra as the representation space of the adjoint action. Regarding the tangent bundle of a Lie gr…
Lifshitz fermionic theories with z=2 anisotropic scaling
H. Montani, F. A. Schaposnik
We construct fermionic Lagrangians with anisotropic scaling z=2, the natural counterpart of the usual z=2 Lifshitz field theories for scalar fields. We analyze the issue of chiral…
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
S. Capriotti, H. Montani
In this work we study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study m…