Download EBOOK Clifford Algebras and Lie Theory PDF for free


Download EBOOK Clifford Algebras and Lie Theory PDF for free Category: Science & Geography
The author of the book: Eckhard Meinrenken
Format files: PDF, EPUB, TXT, DOCX
The size of the: 4.90 MB
Language: English
ISBN-13: 9783642362156
Edition: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date of issue: 16 March 2013

Description of the book "Clifford Algebras and Lie Theory":

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan's famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci's proof of the Poincare-Birkhoff-Witt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the PDF cubic Dirac operator. The applications to Lie theory include Duflo's theorem for the case of quadratic Lie algebras, multiplets of representations, and Dirac induction. The last part of the book is an account of Kostant's structure theory of the Clifford algebra over a semisimple Lie algebra. It describes his "Clifford algebra analogue" of the Hopf-Koszul-Samelson theorem, and explains his fascinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principal sl(2) subalgebra. Aside from these beautiful applications, the book will serve as a convenient and up-to-date reference for background material from Clifford ePub theory, relevant for students and researchers in mathematics and physics.

Download EBOOK Clifford Algebras and Lie Theory PDF for free


Reviews of the Clifford Algebras and Lie Theory

To date regarding the e-book we have Clifford Algebras and Lie Theory suggestions people never have but remaining his or her writeup on the action, you aren't see clearly still. Although, should you have currently check this out guide and you are willing to help to make their own discoveries convincingly expect you to be tied to to go away an overview on our site (we will distribute equally bad and the good testimonials). Quite simply, "freedom of speech" All of us wholeheartedly reinforced. Your comments to reserve Clifford Algebras and Lie Theory - various other audience will be able to determine about a e-book. These guidance will make all of us more Joined!


Eckhard Meinrenken

Unfortunately, presently and we don't possess details about the particular artisan Eckhard Meinrenken. However, we might value when you have any details about it, and they are willing to supply the item. Mail the idea to us! We also have each of the check out, of course, if every detail are usually accurate, we'll release on our site. It is significant for people that every correct with regards to Eckhard Meinrenken. All of us thanks upfront to be able to check out fulfill us all!

Download EBOOK Clifford Algebras and Lie Theory PDF for free



Download EBOOK Clifford Algebras and Lie Theory for free

Download PDF: clifford-algebras-and-lie-theory.pdf Download Clifford Algebras and Lie Theory PDF
 
Download ePUB: clifford-algebras-and-lie-theory.epub Download Clifford Algebras and Lie Theory ePUB
 
Download TXT: clifford-algebras-and-lie-theory.txt Download Clifford Algebras and Lie Theory TXT
 
Download DOCX: clifford-algebras-and-lie-theory.docx Download Clifford Algebras and Lie Theory DOCX



Leave a Comment Clifford Algebras and Lie Theory