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Springer Clifford Algebras and Lie Theory - Mathematics Monograph

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Description

Explore the deep connections between Clifford algebras and the theory of Lie groups and Lie algebras with this specialized monograph from Springer. Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, this volume provides a detailed presentation of symmetric bilinear forms and Clifford algebras. The text covers the development of spin groups and the spin representation, leading to Cartan's triality automorphism for the group Spin(8). Readers will find comprehensive discussions on enveloping algebras, including Petracci's proof of the Poincare-Birkhoff-Witt theorem. The book also addresses Weil algebras and Chern-Weil theory, making it a significant resource for those studying advanced algebra and its mathematical applications.

Key Features

This Springer monograph provides a detailed introduction to Clifford algebras and their connections to Lie groups and Lie algebras.

The text covers the development of spin groups and the spin representation, including Cartan's triality automorphism for Spin(8).

Includes a presentation of Petracci's proof of the Poincare-Birkhoff-Witt theorem within the discussion of enveloping algebras.

Provides academic coverage of Weil algebras and Chern-Weil theory for advanced mathematical study.

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, specifically volume 58 in the modern surveys in mathematics collection.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
16 March 2013
Listed Since
21 December 2012

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