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The algebraic fundamental group of a reductive group scheme over an arbitrary base scheme
(CENTRAL EUROPEAN SCIENCE JOURNALS, 2014)
Lie algebroids arising from simple group schemes
(Academic Press Inc Elsevier Science, 2017-10)
A classical construction of Atiyah assigns to any (real or complex) Lie group G, manifold M and principal homogeneous G-space P over M, a Lie algebroid over M ([1]). The spirit behind our work is to put this work within ...
Torsors, reductive group schemes and extended affine Lie algebras
(American Mathematical Society, 2013-11)
We give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction ...
Conjugacy theorems for loop reductive group schemes and Lie algebras
(Springer, 2014-01)
The conjugacy of split Cartan subalgebras in the finite-dimensional simple case (Chevalley) and in the symmetrizable Kac–Moody case (Peterson–Kac) are fundamental results of the theory of Lie algebras. Among the Kac–Moody ...
The algebraic fundamental group of a reductive group scheme over an arbitrary base schemeCENTRAL EUROPEAN JOURNAL OF MATHEMATICS (PRINT)CENT EUR J MED MATH (PRINT)
(CENTRAL EUROPEAN SCIENCE JOURNALS, 2016)
A classification of torsors over Laurent polynomial rings
(European Mathematical Society, 2017-04)
LetRn be the ring of Laurent polynomials in n variables over a field k of characteristic zero and letKn be its fraction field. Given a linear algebraic κ-groupG,we showthat aKn-torsor under G which is unramified with respect ...
On conjugacy of Cartan subalgebras in extended affine Lie algebras
(Academic Press Inc Elsevier Science, 2016-02)
That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and indecomposable irreducible root systems, is ...
Influence of group function and canine guidance on electromyographic activity of elevator muscles
(1987)
A comparative EMG study was done between two types of occlusal guidances: group function and canine guidance. The purpose was to determine which of the two occlusal schemes causes a greater reduction in muscle activity and ...
Cholinesterase Activities and Oxidative Stress in Cattle Experimentally Exposed to Nitrate/Nitrite in Cultivated Pasture with Different Fertilization Schemes
(Universidade Federal do Rio Grande do Sul, 2018)
Efficacy of several vaccination programmes in commercial layer and broiler breeder hens against experimental challenge with Salmonella enterica serovar Enteritidis
(Taylor & Francis Ltd, 2009-01-01)
Two experiments were performed to evaluate the protective effect of various vaccination combinations given at 5 and 9 weeks of age against experimental challenge with Salmonella enterica serovar Enteritidis ( SE) phage ...