Clifford Algebras and Lie Theory

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Clifford Algebras and Lie Theory

種類:

電子ブック

責任表示:

by Eckhard Meinrenken

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013

著者名:

シリーズ名:

Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 58

ISBN:

9783642362163 [3642362168]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-3-642-36216-3

所蔵情報

子書誌情報

タイトルが類似している資料

詳細

主題:

Associative Rings and Algebras; Differential Geometry; Mathematical Applications in the Physical Sciences; Mathematical Methods in Physics; Mathematics; Topological Groups, Lie Groups

分類・件名:

DC23 : 512.55
DC23 : 512.482
LCSH : Mathematics
LCSH : Algebra
LCSH : Topological Groups
LCSH : Global differential geometry
LCSH : Mathematical physics
FREE : Mathematics
FREE : Topological Groups, Lie Groups
FREE : Associative Rings and Algebras
FREE : Mathematical Applications in the Physical Sciences
FREE : Differential Geometry
FREE : Mathematical Methods in Physics

形態:

XX, 321 p : digital

目次情報:

Preface
Conventions
List of Symbols
1 Symmetric bilinear forms
2 Clifford algebras
3 The spin representation
4 Covariant and contravariant spinors
5 Enveloping algebras
6 Weil algebras
7 Quantum Weil algebras
8 Applications to reductive Lie algebras
9 D(g; k) as a geometric Dirac operator
10 The Hopf–Koszul–Samelson Theorem
11 The Clifford algebra of a reductive Lie algebra
A Graded and filtered super spaces
B Reductive Lie algebras
C Background on Lie groups
References
Index

Preface
Conventions
List of Symbols
1 Symmetric bilinear forms
2 Clifford algebras
3 The spin representation

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書誌ID:

KB00010267

内容紹介

目次情報

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