Results 31 to 40 of about 1,668,111 (289)

Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields

Comptes Rendus. Mathématique, 2020
Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
doaj   +1 more source

Supersymmetry and Lie groups

, 2007
We construct all vacuum states of $\mathcal{N}=2$ supersymmetric Yang-Mills quantum mechanics (for SU(N) group) and discuss their origin from the SU(N) real cohomology.Comment: 12 pages, to appear in Journal of Mathematical ...
Trzetrzelewski, Maciej
core   +1 more source

Berry's phase for compact Lie groups [PDF]

, 2000
The Lie group adiabatic evolution determined by a Lie algebra parameter dependent Hamiltonian is considered. It is demonstrated that in the case when the parameter space of the Hamiltonian is a homogeneous K\"ahler manifold its fundamental K\"ahler ...
Alvarez-Gaumé, Arvind, Bando, Bar-Moshe, Berezin, Berry, Borel, Born, Byrd, Coleman, E. Strahov, Itoh, Jakšić, Khanna, Simon, Zumino   +15 more
core   +2 more sources

Infinite dimensional super Lie groups

, 2006
A super Lie group is a group whose operations are $G^{\infty}$ mappings in the sense of Rogers. Thus the underlying supermanifold possesses an atlas whose transition functions are $G^{\infty}$ functions. Moreover the images of our charts are open subsets
Abraham, Batchelor, Berezin, Bruzzo, Bruzzo, Bröcker, Buchbinder, DeWitt, Duistermaat, Freund, Jadczyk, James Cook, Kolar, Kostant, Lang, Neeb, Pestov, Rogers, Rogers, Rogers, Rogers, Ronald Fulp   +21 more
core   +2 more sources

Extremal curves in nilpotent Lie groups [PDF]

, 2013
We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin Maximum Principle.
Davide Vittone, Enrico Le Donne, Gian Paolo Leonardi, M. Hall Jr, R. Montgomery, Roberto Monti   +5 more
core   +2 more sources

Orthogonal Polynomials of Compact Simple Lie Groups

International Journal of Mathematics and Mathematical Sciences, 2011
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko, Jiří Patera, Agnieszka Tereszkiewicz   +2 more
doaj   +1 more source

Cyclic Lorentzian Lie Groups

, 2015
We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several results
Calvaruso, G., Lopez, M. Castrillon
core   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Compact Lie Groups, Generalised Euler Angles, and Applications

Universe, 2022
This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
doaj   +1 more source

Fundamental Groups of Commuting Elements in Lie Groups

, 2006
We compute the fundamental group of the spaces of ordered commuting $n$-tuples of elements in the Lie groups SU(2), U(2) and SO(3).
Sjerve, Denis, Torres-Giese, Enrique
core   +2 more sources