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Lie groups : = an introduction throu...

Rossmann, Wulf, (1948-)

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Lie groups : = an introduction through linear groups /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Lie groups :/ Wulf Rossmann.
Reminder of title:	an introduction through linear groups /
Author:	Rossmann, Wulf,
Published:	Oxford ;Oxford University Press, : 2002.,
Description:	x, 265 p. :ill. ;25 cm.
Series:	Oxford graduate texts in mathematics ;
[NT 15003449]:	Machine generated contents note: 1 The exponential map 1 -- 1.1 Vector fields and one-parameter groups of -- linear transformation 1 -- 1.2 Ad, ad, and dexp 12 -- 1.3 The Campbell-Baker-Hausdorff series 22 -- 2 Lie theory 30 -- 2.1 Linear groups: definitions and examples 30 -- 2.2 The Lie algebra of a linear group 44 -- 2.3 Coordinates on a linear group 53 -- 2.4 Connectedness 61 -- 2.5 The Lie correspondence 66 -- 2.6 Homomorphisms and coverings of linear groups 78 -- 2.7 Closed subgroups 87 -- 3 The classical groups 91 -- 3.1 The classical groups: definitions, connectedness 91 -- 3.2 Cartan subgroups 107 -- 3.3 Roots, weights, reflections 115 -- 3.4 Fundamental groups of the classical groups 121 -- 4 Manifolds, homogeneous spaces, Lie groups 132 -- 4.1 Manifolds 132 -- 4.2 Homogeneous spaces 143 -- 4.3 Lie groups 152 -- 5 Integration 165 -- 5.1 Integration on manifolds 165 -- 5.2 Integration on linear groups and -- their homogeneous spaces 171 -- 5.3 Weyl's integration formula for U(n) 179 -- 6 Representations 189 -- 6.1 Representations: definitions 189 -- 6.2 Schur's lemma, Peter-Weyl theorem 197 -- 6.3 Characters 205 -- 6.4 Weyl's character formula for U(n) 212 -- 6.5 Representations of Lie algebras 223 -- 6.6 The Borel-Weil theorem for GL(n, C) 232 -- 6.7 Representations of the classical groups 237 -- Appendix Analytic Functions and Inverse -- Function Theorem 250.
Subject:	Lie groups. -
Online resource:	http://www.loc.gov/catdir/toc/fy022/2001050008.htmlhttp://www.loc.gov/catdir/toc/fy022/2001050008.html
Online resource:	http://www.loc.gov/catdir/enhancements/fy0611/2001050008-d.htmlhttp://www.loc.gov/catdir/enhancements/fy0611/2001050008-d.html
ISBN:	0198596839$b(hbk.)

Lie groups : = an introduction through linear groups /
Rossmann, Wulf,1948-

Lie groups :an introduction through linear groups /Wulf Rossmann. - Oxford ;Oxford University Press,2002. - x, 265 p. :ill. ;25 cm. - Oxford graduate texts in mathematics ;5.

Includes bibliographical references (p. 258-260) and index.

Machine generated contents note: 1 The exponential map 1 -- 1.1 Vector fields and one-parameter groups of -- linear transformation 1 -- 1.2 Ad, ad, and dexp 12 -- 1.3 The Campbell-Baker-Hausdorff series 22 -- 2 Lie theory 30 -- 2.1 Linear groups: definitions and examples 30 -- 2.2 The Lie algebra of a linear group 44 -- 2.3 Coordinates on a linear group 53 -- 2.4 Connectedness 61 -- 2.5 The Lie correspondence 66 -- 2.6 Homomorphisms and coverings of linear groups 78 -- 2.7 Closed subgroups 87 -- 3 The classical groups 91 -- 3.1 The classical groups: definitions, connectedness 91 -- 3.2 Cartan subgroups 107 -- 3.3 Roots, weights, reflections 115 -- 3.4 Fundamental groups of the classical groups 121 -- 4 Manifolds, homogeneous spaces, Lie groups 132 -- 4.1 Manifolds 132 -- 4.2 Homogeneous spaces 143 -- 4.3 Lie groups 152 -- 5 Integration 165 -- 5.1 Integration on manifolds 165 -- 5.2 Integration on linear groups and -- their homogeneous spaces 171 -- 5.3 Weyl's integration formula for U(n) 179 -- 6 Representations 189 -- 6.1 Representations: definitions 189 -- 6.2 Schur's lemma, Peter-Weyl theorem 197 -- 6.3 Characters 205 -- 6.4 Weyl's character formula for U(n) 212 -- 6.5 Representations of Lie algebras 223 -- 6.6 The Borel-Weil theorem for GL(n, C) 232 -- 6.7 Representations of the classical groups 237 -- Appendix Analytic Functions and Inverse -- Function Theorem 250.

ISBN: 0198596839$b(hbk.)NT$2403

LCCN: 2001050008Subjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .R68 2002

Dewey Class. No.: 512/.55

Lie groups : = an introduction through linear groups /
LDR:02347nam _2200229 _450 001 618983
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008 061023s2002 enka b 001 0 eng
010 $a 2001050008
020 $a 0198596839$b(hbk.) $c NT$2403
035 $a 00398740
040 $a DLC $c DLC $d DLC
042 $a pcc
050 0 0 $a QA387 $b .R68 2002
082 0 0 $a 512/.55 $2 21
100 $a Rossmann, Wulf, $d 1948- $3 606428
245 1 0 $a Lie groups : $b an introduction through linear groups / $c Wulf Rossmann.
260 $a Oxford ; $a New York : $c 2002. $b Oxford University Press,
300 $a x, 265 p. : $b ill. ; $c 25 cm.
440 0 $a Oxford graduate texts in mathematics ; $v 5
504 $a Includes bibliographical references (p. 258-260) and index.
505 8 $a Machine generated contents note: 1 The exponential map 1 -- 1.1 Vector fields and one-parameter groups of -- linear transformation 1 -- 1.2 Ad, ad, and dexp 12 -- 1.3 The Campbell-Baker-Hausdorff series 22 -- 2 Lie theory 30 -- 2.1 Linear groups: definitions and examples 30 -- 2.2 The Lie algebra of a linear group 44 -- 2.3 Coordinates on a linear group 53 -- 2.4 Connectedness 61 -- 2.5 The Lie correspondence 66 -- 2.6 Homomorphisms and coverings of linear groups 78 -- 2.7 Closed subgroups 87 -- 3 The classical groups 91 -- 3.1 The classical groups: definitions, connectedness 91 -- 3.2 Cartan subgroups 107 -- 3.3 Roots, weights, reflections 115 -- 3.4 Fundamental groups of the classical groups 121 -- 4 Manifolds, homogeneous spaces, Lie groups 132 -- 4.1 Manifolds 132 -- 4.2 Homogeneous spaces 143 -- 4.3 Lie groups 152 -- 5 Integration 165 -- 5.1 Integration on manifolds 165 -- 5.2 Integration on linear groups and -- their homogeneous spaces 171 -- 5.3 Weyl's integration formula for U(n) 179 -- 6 Representations 189 -- 6.1 Representations: definitions 189 -- 6.2 Schur's lemma, Peter-Weyl theorem 197 -- 6.3 Characters 205 -- 6.4 Weyl's character formula for U(n) 212 -- 6.5 Representations of Lie algebras 223 -- 6.6 The Borel-Weil theorem for GL(n, C) 232 -- 6.7 Representations of the classical groups 237 -- Appendix Analytic Functions and Inverse -- Function Theorem 250.
650 $a Lie groups. $3 526114
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/toc/fy022/2001050008.html $z http://www.loc.gov/catdir/toc/fy022/2001050008.html
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/enhancements/fy0611/2001050008-d.html $z http://www.loc.gov/catdir/enhancements/fy0611/2001050008-d.html