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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 ...
Hirota's solitons in the affine and the conformal affine Toda models
(Elsevier B.V., 1993-12-01)
We use Hirota's method formulated as a recursive scheme to construct a complete set of soliton solutions for the affine Toda field theory based on an arbitrary Lie algebra. Our solutions include a new class of solitons ...
On spectra of abelian group rings
(KOSSUTH LAJOS TUDOMANYEGYETEM, 2008)
In this paper we study the spectrum of integral group rings of finitely generated abelian groups G from the scheme-theoretic viewpoint. We prove that the (closed) singular points of Spec Z[G], the (closed) intersection ...
Hirota's solitons in the affine and the conformal affine Toda models
(Elsevier B.V., 2014)
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 ...
Structural modeling of high-affinity thyroid receptor-ligand complexes
(SPRINGER, 2010)
Understanding the molecular basis of the binding modes of natural and synthetic ligands to nuclear receptors is fundamental to our comprehension of the activation mechanism of this important class of hormone regulated ...
Structural modeling of high-affinity thyroid receptor-ligand complexes
(SpringerHeidelberg, 2010)
Understanding the molecular basis of the binding modes of natural and synthetic ligands to nuclear receptors is fundamental to our comprehension of the activation mechanism of this important class of hormone regulated ...
A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
(Elsevier, 2014-02)
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted ...
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 ...
Distributed Estimation Over an Adaptive Incremental Network Based on the Affine Projection Algorithm
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2010)
We study the problem of distributed estimation based on the affine projection algorithm (APA), which is developed from Newton`s method for minimizing a cost function. The proposed solution is formulated to ameliorate the ...