Lie Algebra

A Survey of Lie Groups and Lie Algebra with Applications and Computational Methods (Repost)

Johan G. F. Belinfante, Bernard Kolman, "A Survey of Lie Groups and Lie Algebra with Applications and Computational Methods"
English | 1987 | ISBN: 0898712432 | PDF | pages: 175 | 16,2 mb
Lectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry

Damien Calaque, Carlo A. Rossi - Lectures on Duflo Isomorphisms in Lie Algebra and Complex Geometry
Published: 2011-05-15 | ISBN: 3037190965 | PDF | 114 pages | 3.37 MB
Highest Weight Representations Of Infinite Dimensional Lie Algebra

Victor G. Kac, "Highest Weight Representations Of Infinite Dimensional Lie Algebra"
1988 | pages: 158 | ISBN: 9971503956, 9971503964 | PDF | 3,2 mb
Nilpotent Orbits In Semisimple Lie Algebra: An Introduction

David .H. Collingwood, William .M. McGovern, "Nilpotent Orbits In Semisimple Lie Algebra: An Introduction"
1993 | pages: 200 | ISBN: 0534188346 | PDF | 9,7 mb

Lectures on Infinite Dimensional Lie Algebra (Repost)  

Posted by Specialselection at Feb. 9, 2014
Lectures on Infinite Dimensional Lie Algebra (Repost)

Minoru Wakimoto, "Lectures on Infinite Dimensional Lie Algebra"
English | 2002-02-15 | ISBN: 9810241283 | 250 pages | PDF | 10.9 mb
A Survey of Lie Groups and Lie Algebra with Applications and Computational Methods

Johan G. F. Belinfante, ‎Bernard Kolman - A Survey of Lie Groups and Lie Algebra with Applications and Computational Methods
Published: 1987-01-01 | ISBN: 0898712432 | PDF | 174 pages | 16 MB
Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras by Emmanuel Letellier

Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras by Emmanuel Letellier
Springer; 2005 edition | December 2, 2004 | English | ISBN: 3540240209 | 171 pages | PDF | 1 MB

The Fourier transforms of invariant functions on finite reductive Lie algebras are due to T.A. Springer (1976) in connection with the geometry of nilpotent orbits. In this book the author studies Fourier transforms using Deligne-Lusztig induction and the Lie algebra version of Lusztig’s character sheaves theory. He conjectures a commutation formula between Deligne-Lusztig induction and Fourier transforms that he proves in many cases.
Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin (repost)

Andrea Bonfiglioli, Roberta Fulci , "Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin"
English | 2011 | ISBN: 3642225969 | 520 pages | PDF | 5,9 MB

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry)

Automorphic Forms and Lie Superalgebras (Repost)  

Posted by vijaybbvv at May 2, 2010
Automorphic Forms and Lie Superalgebras (Repost)

Automorphic Forms and Lie Superalgebras
290 pages | Springer; 1 edition | February 2, 2007 | ISBN: 1402050097 | 3 Mb

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

Algebra IX [Repost]  eBooks & eLearning

Posted by tanas.olesya at May 10, 2016
Algebra IX [Repost]

Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences) by A.I. Kostrikin
English | Aug. 28, 2001 | ISBN: 3540570381 | 240 Pages | PDF | 12 MB

The first contribution by Carter covers the theory of finite groups of Lie type, an important field of current mathematical research. In the second part, Platonov and Yanchevskii survey the structure of finite-dimensional division algebras, including an account of reduced K-theory.