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Geometric and Ergodic Aspects of Group Actions (Repost)

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Geometric and Ergodic Aspects of Group Actions (Repost)

Geometric and Ergodic Aspects of Group Actions by S. G. Dani
English | PDF | 2019 | 176 Pages | ISBN : 9811506825 | 5.3 MB

This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.

The Geometry of Jordan and Lie Structures

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The Geometry of Jordan and Lie Structures

The Geometry of Jordan and Lie Structures by Wolfgang Bertram
English | PDF | 2000 | 285 Pages | ISBN : 3540414266 | 17.6 MB

In this work of we the Lie- and Jordan on an study interplay theory and ona level.Weintendtocontinue ittoa algebraic geometric systematicstudy ofthe role Jordan inharmonic In the of theoryplays analysis. fact, applications the of Jordan to theharmonic on cones theory algebras analysis symmetric (cf. of the wereatthe theauthor'sworkinthisarea.

Introduction to Quantum Groups

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Introduction to Quantum Groups

Introduction to Quantum Groups by George Lusztig
English | PDF | 2010 (Reprint of the 1994 Edition) | 361 Pages | ISBN : 0817637125 | 21.2 MB

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinfeld and Jimbo in 1985, or variations thereof. It is shown that these algebras have natural integral forms that can be specialized at roots of 1 and yield new objects, which include quantum versions of the semi-simple groups over fields of positive characteristic.

Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

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Applications of Symmetry Methods to Partial Differential Equations (Applied Mathematical Sciences)

Applications of Symmetry Methods to Partial Differential Equations by George W. Bluman
English | PDF(True) | 2010 | 415 Pages | ISBN : 038798612X | 1.9 MB

This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether’s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful.

Classical Lie Algebras at Infinity

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Classical Lie Algebras at Infinity

Classical Lie Algebras at Infinity by Ivan Penkov
English | EPUB | 2022 | 245 Pages | ISBN : 3030896595 | 16.1 MB

Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge.

Convergence Structures and Applications to Functional Analysis

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Convergence Structures and Applications to Functional Analysis

Convergence Structures and Applications to Functional Analysis by R. Beattie
English | PDF | 2002 | 264 Pages | ISBN : 1402005660 | 21.4 MB

For many, modern functional analysis dates back to Banach's book [Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theorem and the uniform boundedness principle were developed in the setting of complete normed and complete metrizable spaces. When analysts realized the power and applicability of these methods, they sought to generalize the concept of a metric space and to broaden the scope of these theorems.