Results 41 to 50 of about 13,417,881 (325)
Cyclic Codes over a Non-Commutative Non-Unital Ring
MathematicsIn this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi +2 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
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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 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
Study of Groups with basic property [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2012 The purpose of this paper is to study the concept of dependence , independence and the basis of some algebraic structure and give the definition of a finite group with basic property and study some of its basic properties .
Dunia Alawi Jarwan
doaj +1 more source
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
On the good filtration dimension of Weyl modules for a linear algebraic group [PDF]
, 2003 Let G be a linear algebraic group over an algebraically closed field of characteristic p whose corresponding root system is irreducible. In this paper we calculate the Weyl filtration dimension of the induced G-modules, \nabla(\lambda) and the simple G ...
A. Parker
semanticscholar +1 more source
Wonderful compactifications of Bruhat-Tits buildings [PDF]
Épijournal de Géométrie Algébrique, 2017 Given a split semisimple group over a local field, we consider the maximal Satake-Berkovich compactification of the corresponding Euclidean building. We prove that it can be equivariantly identified with the compactification which we get by embedding the
Bertrand Remy +2 more
doaj +1 more source
A birational invariant for algebraic group actions [PDF]
, 2000 We construct a birational invariant for certain algebraic group actions. We use this invariant to classify linear representations of finite abelian groups up to birational equivalence, thus answering, in a special case, a question of E.B.
Z. Reichstein, B. Youssin
semanticscholar +1 more source
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source