Results 41 to 50 of about 429,869 (330)
Group Averaging and Refined Algebraic Quantization
, 2000 We review the framework of Refined Algebraic Quantization and the method of Group Averaging for quantizing systems with first-class constraints. Aspects and results concerning the generality, limitations, and uniqueness of these methods are discussed ...
Ashtekar +10 more
core +2 more sources
Quantum Codes as an Application of Constacyclic Codes
AxiomsThe main focus of this paper is to analyze the algebraic structure of constacyclic codes over the ring R=Fp+w1Fp+w2Fp+w22Fp+w1w2Fp+w1w22Fp, where w12−α2=0, w1w2=w2w1, w23−β2w2=0, and α,β∈Fp∖{0}, for a prime p.
Mohd Arif Raza +8 more
doaj +1 more source
Comptes Rendus. Mathématique, 2020 We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension $K/k$, every $G_K$-homogeneous $K$-variety has a $K$-rational point. It is known that every split solvable linear algebraic group is very special.
Brion, Michel, Peyre, Emmanuel
doaj +1 more source
Algebraic Families of Groups and Commuting Involutions
, 2017 Let $G$ be a complex affine algebraic group, and let $\sigma_1$ and $\sigma_2$ be commuting anti-holomorphic involutions of $G$. We construct an algebraic family of algebraic groups over the complex projective line and a real structure on the family that
Barbasch, Dan +2 more
core +1 more source
Algebraic (2, 2)-transformation groups [PDF]
Journal of Group Theory, 2009 This paper contains the more significant part of the article with the same title that will appear in the Volume 12 of Journal of Group Theory (2009). In this paper we determine all algebraic transformation groups $G$, defined over an algebraically closed field $\sf k$, which operate transitively, but not primitively, on a variety $ $, provided the ...
BARTOLONE, Claudio +2 more
openaire +4 more sources
P-adic lattices are not K\"ahler groups [PDF]
Épijournal de Géométrie Algébrique, 2019 In this note we show that any lattice in a simple p-adic Lie group is not the fundamental group of a compact Ka\"hler manifold, as well as some variants of this result.
Bruno Klingler
doaj +1 more source
Shintani descent for algebraic groups and almost characters of unipotent groups
, 2015 In this paper, we extend the notion of Shintani descent to general (possibly disconnected) algebraic groups defined over a finite field $\mathbb{F}_q$. For this, it is essential to treat all the pure inner $\mathbb{F}_q$-rational forms of the algebraic ...
Deshpande, Tanmay
core +1 more source
Sur l'hyperbolicit\'e de graphes associ\'es au groupe de Cremona [PDF]
Épijournal de Géométrie Algébrique, 2019 To reinforce the analogy between the mapping class group and the Cremona group of rank $2$ over an algebraic closed field, we look for a graph analoguous to the curve graph and such that the Cremona group acts on it non-trivially.
Anne Lonjou
doaj +1 more source
Group Algebras of Finite Groups as Lie Algebras [PDF]
Communications in Algebra, 2010 We consider the natural Lie algebra structure on the (associative) group algebra of a finite group $G$, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of $G$.
openaire +2 more sources
Unprecedented Spin‐Lifetime of Itinerant Electrons in Natural Graphite Crystals
Advanced Functional Materials, EarlyView.Graphite exhibits extraordinary spintronic potential, with electron spin lifetimes reaching 1,000 ns at room temperature ‐ over 100 times longer than graphene‐based devices. Magnetic resonance spectroscopy reveals strong anisotropy: out‐of‐plane spins live 50 times longer than their in‐plane counterparts.
Bence G. Márkus +5 more
wiley +1 more source