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Lie algebras

Most popular at the top

  • Lineare Darstellungen endlicher Gruppenby Jean Pierre Serre

    Vieweg+Teubner Verlag 2013; US$ 36.58

    Dieses Buch besteht aus 16 Paragraphen, die in Niveau und Zielstel­ lung ziemlich unterschiedlich sind: Die Paragraphen 1-5 sind auf die Bediirfnisse der theoretischen Chemiker zugeschnitten. Sie legen den auf F'ROBENIUS zuriickgehenden Zusammen­ hang dar, der zwischen linearen Darstellungen und Charakteren besteht. Es handelt sich hierbei urn grundlegende... more...

  • Berkovich Spaces and Applicationsby Antoine Ducros; Charles Favre; Johannes Nicaise

    Springer International Publishing 2014; US$ 67.07

    We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology... more...

  • Lie Algebras and Lie Groupsby Jean-Pierre Serre

    Springer Berlin Heidelberg 2009; US$ 35.30

    The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I. I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras... more...

  • Liesche Gruppen und Algebrenby M. Krämer; J. Tits; H. Scheerer

    Springer Berlin Heidelberg 2013; US$ 39.56


  • Lie Algebras of Finite and Affine Typeby Roger Carter

    Cambridge University Press 2005; US$ 112.00

    This book provides a thorough but relaxed mathematical treatment of Lie algebras. more...

  • Lie Algebras and Algebraic Groupsby Patrice Tauvel; Rupert W. T. Yu

    Springer Berlin Heidelberg 2006; US$ 88.26

    The theory of groups and Lie algebras is interesting for many reasons. In the mathematical viewpoint, it employs at the same time algebra, analysis and geometry. On the other hand, it intervenes in other areas of science, in particularindi?erentbranchesofphysicsandchemistry.Itisanactivedomain of current research. Oneofthedi?cultiesthatgraduatestudentsormathematiciansinterested... more...

  • Structure Theoryby Helmut Strade

    De Gruyter 2008; US$ 252.00

    The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 45 years has been directed by the Kostrikin–Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional... more...

  • Lie Algebras: Theory and Algorithmsby W. A. de Graaf

    Elsevier Science 2000; US$ 175.00

    The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often... more...

  • Automorphic Forms and Lie Superalgebrasby Urmie Ray

    Springer Netherlands 2007; US$ 94.14

    A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated... more...

  • Naive Lie Theoryby John Stillwell

    Springer New York 2008; US$ 42.52

    This book aims to fill a gap in the literature by introducing Lie theory to junior and senior level undergraduates. In order to achieve this, the author focuses on the so-called "classical groups,'' viewed as matrix groups with real, complex, or quaternion entries. This allows them to be studied by elementary methods from calculus and linear algebra.... more...