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Lie groups : = an introduction throu...

Rossmann, Wulf, (1948-)

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Lie groups : = an introduction through linear groups /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lie groups :/ Wulf Rossmann.
其他題名:	an introduction through linear groups /
作者:	Rossmann, Wulf,
出版者:	Oxford ;Oxford University Press, : 2002.,
面頁冊數:	x, 265 p. :ill. ;25 cm.
叢書名:	Oxford graduate texts in mathematics ;
內容註:	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.
標題:	Lie groups. -
電子資源:	http://www.loc.gov/catdir/toc/fy022/2001050008.htmlhttp://www.loc.gov/catdir/toc/fy022/2001050008.html
電子資源:	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 /
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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.
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