Torsors Reductive Group Schemes And Extended Affine Lie Algebras
DOWNLOAD
Download Torsors Reductive Group Schemes And Extended Affine Lie Algebras PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Torsors Reductive Group Schemes And Extended Affine Lie Algebras book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Torsors Reductive Group Schemes And Extended Affine Lie Algebras
DOWNLOAD
Author : Philippe Gille
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23
Torsors Reductive Group Schemes And Extended Affine Lie Algebras written by Philippe Gille and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.
The authors 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 of Extended Affine Lie Algebras (which are higher nullity analogues of the affine Kac-Moody Lie algebras). The torsor approach that the authors take draws heavily from the theory of reductive group schemes developed by M. Demazure and A. Grothendieck. It also allows the authors to find a bridge between multiloop algebras and the work of F. Bruhat and J. Tits on reductive groups over complete local fields.
On The Spectra Of Quantum Groups
DOWNLOAD
Author : Milen Yakimov
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-04-07
On The Spectra Of Quantum Groups written by Milen Yakimov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-07 with Mathematics categories.
Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras on simple algebraic groups in terms of the centers of certain localizations of quotients of by torus invariant prime ideals, or equivalently in terms of orbits of finite groups. These centers were only known up to finite extensions. The author determines the centers explicitly under the general conditions that the deformation parameter is not a root of unity and without any restriction on the characteristic of the ground field. From it he deduces a more explicit description of all prime ideals of than the previously known ones and an explicit parametrization of .
Cohomology For Quantum Groups Via The Geometry Of The Nullcone
DOWNLOAD
Author : Christopher P. Bendel
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-04-07
Cohomology For Quantum Groups Via The Geometry Of The Nullcone written by Christopher P. Bendel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-07 with Mathematics categories.
In general, little is known about the representation theory of quantum groups (resp., algebraic groups) when l (resp., p ) is smaller than the Coxeter number h of the underlying root system. For example, Lusztig's conjecture concerning the characters of the rational irreducible G -modules stipulates that p=h. The main result in this paper provides a surprisingly uniform answer for the cohomology algebra H (u ? ,C) of the small quantum group.
Relative Equilibria In The 3 Dimensional Curved N Body Problem
DOWNLOAD
Author : Florin Diacu
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Relative Equilibria In The 3 Dimensional Curved N Body Problem written by Florin Diacu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
Considers the 3 -dimensional gravitational n -body problem, n32 , in spaces of constant Gaussian curvature k10 , i.e. on spheres S 3 ?1 , for ?>0 , and on hyperbolic manifolds H 3 ?1, for ?
A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials
DOWNLOAD
Author : Florica C. Cîrstea
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08
A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials written by Florica C. Cîrstea and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.
In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]one, thus addressing an open question of Vázquez and Véron.
Weighted Bergman Spaces Induced By Rapidly Increasing Weights
DOWNLOAD
Author : Jose Angel Pelaez
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08
Weighted Bergman Spaces Induced By Rapidly Increasing Weights written by Jose Angel Pelaez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.
This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb{D}$ that is induced by a radial continuous weight $\omega$ satisfying $\lim_{r\to 1^-}\frac{\int_r^1\omega(s)\,ds}{\omega(r)(1-r)}=\infty.$ Every such $A^p_\omega$ lies between the Hardy space $H^p$ and every classical weighted Bergman space $A^p_\alpha$. Even if it is well known that $H^p$ is the limit of $A^p_\alpha$, as $\alpha\to-1$, in many respects, it is shown that $A^p_\omega$ lies ``closer'' to $H^p$ than any $A^p_\alpha$, and that several finer function-theoretic properties of $A^p_\alpha$ do not carry over to $A^p_\omega$.
Stochastic Flows In The Brownian Web And Net
DOWNLOAD
Author : Emmanuel Schertzer
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08
Stochastic Flows In The Brownian Web And Net written by Emmanuel Schertzer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.
It is known that certain one-dimensional nearest-neighbor random walks in i.i.d. random space-time environments have diffusive scaling limits. Here, in the continuum limit, the random environment is represented by a `stochastic flow of kernels', which is a collection of random kernels that can be loosely interpreted as the transition probabilities of a Markov process in a random environment. The theory of stochastic flows of kernels was first developed by Le Jan and Raimond, who showed that each such flow is characterized by its -point motions. The authors' work focuses on a class of stochastic flows of kernels with Brownian -point motions which, after their inventors, will be called Howitt-Warren flows. The authors' main result gives a graphical construction of general Howitt-Warren flows, where the underlying random environment takes on the form of a suitably marked Brownian web. This extends earlier work of Howitt and Warren who showed that a special case, the so-called "erosion flow", can be constructed from two coupled "sticky Brownian webs". The authors' construction for general Howitt-Warren flows is based on a Poisson marking procedure developed by Newman, Ravishankar and Schertzer for the Brownian web. Alternatively, the authors show that a special subclass of the Howitt-Warren flows can be constructed as random flows of mass in a Brownian net, introduced by Sun and Swart. Using these constructions, the authors prove some new results for the Howitt-Warren flows.
Near Soliton Evolution For Equivariant Schrodinger Maps In Two Spatial Dimensions
DOWNLOAD
Author : Ioan Bejenaru
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Near Soliton Evolution For Equivariant Schrodinger Maps In Two Spatial Dimensions written by Ioan Bejenaru and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
The authors consider the Schrödinger Map equation in 2+1 dimensions, with values into \mathbb{S}^2. This admits a lowest energy steady state Q, namely the stereographic projection, which extends to a two dimensional family of steady states by scaling and rotation. The authors prove that Q is unstable in the energy space \dot H^1. However, in the process of proving this they also show that within the equivariant class Q is stable in a stronger topology X \subset \dot H^1.
Large Deviations For Additive Functionals Of Markov Chains
DOWNLOAD
Author : Alejandro D. de Acosta
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Large Deviations For Additive Functionals Of Markov Chains written by Alejandro D. de Acosta and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
Nonlinear Stability Of Ekman Boundary Layers In Rotating Stratified Fluids
DOWNLOAD
Author : Hajime Koba
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Nonlinear Stability Of Ekman Boundary Layers In Rotating Stratified Fluids written by Hajime Koba and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
A stationary solution of the rotating Navier-Stokes equations with a boundary condition is called an Ekman boundary layer. This book constructs stationary solutions of the rotating Navier-Stokes-Boussinesq equations with stratification effects in the case when the rotating axis is not necessarily perpendicular to the horizon. The author calls such stationary solutions Ekman layers. This book shows the existence of a weak solution to an Ekman perturbed system, which satisfies the strong energy inequality. Moreover, the author discusses the uniqueness of weak solutions and computes the decay rate of weak solutions with respect to time under some assumptions on the Ekman layers and the physical parameters. The author also shows that there exists a unique global-in-time strong solution of the perturbed system when the initial datum is sufficiently small. Comparing a weak solution satisfying the strong energy inequality with the strong solution implies that the weak solution is smooth with respect to time when time is sufficiently large.