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Killing–Yano 2-forms on 2-step nilpotent Lie groups
(Springer, 2021-06-01)
In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left invariant Killing–Yano 2-form are the complex Lie groups. In the case of 2-step nilpotent complex Lie groups arising from ...
Integrable systems on semidirect product Lie groups
(IOP Publishing, 2014-05)
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 group as phase space endowed with this ...
About The Solutions Of Linear Control Systems On Lie Groups
(Universidad Catolica del Norte, 2016)
A Semigroup Associated To A Linear Control System On A Lie Group
(Elsevier Science BVAmsterdam, 2016)
INVARIANT CONES FOR SEMIGROUPS IN TRANSITIVE LIE GROUPS
(Springer/plenum PublishersNew YorkEUA, 2008)
QUASI-INVARIANCE OF PRODUCT MEASURES UNDER LIE GROUP PERTURBATIONS - FISHER INFORMATION AND L(2)-DIFFERENTIABILITY
(Inst Mathematical StatisticsHayward, 1992)
Affine Systems On Lie Groups And Invariance Entropy
(Institute of Electrical and Electronics Engineers Inc., 2016)
The index of compact simple Lie groups:
(Oxford University Press, 2017-10-21)
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non-trivial) totally geodesic submanifold of M. The purpose of this note is to determine the index i(M) for all ...
Automorphisms of non-singular nilpotent Lie algebras
(Heldermann Verlag, 2013-03)
For a real, non-singular, 2-step nilpotent Lie algebra n, the group Aut(n)/ Aut0(n), where Aut0(n) is the group of automorphisms which act trivially on the center, is the direct product of a compact group with the 1-dimensional ...