The structure of complex Lie groups. (2002)
- Record Type:
- Book
- Title:
- The structure of complex Lie groups. (2002)
- Main Title:
- The structure of complex Lie groups
- Further Information:
- Note: Dong Hoon Lee.
- Other Names:
- Lee, Dong Hoon, 1938-
- Contents:
- COMPLEX LIE GROUPS; Almost Complex Structure; Complex Lie Groups; Examples of Complex Lie Groups; Automorphism Groups and Semidirect Products; Universal Complexification of Real Lie Groups; REPRESENTATIVE FUNCTIONS OF LIE GROUPS; Basic Definitions of Representations; Representative Functions and Proper Automorphisms; Analytic Representative Functions; Universal Algebraic Hull; Relative Algebras of Representative Functions; Unipotent Hull; EXTENSION OF REPRESENTATIONS; Some Examples; Decomposition of R(G); Extension Lemmas; Extensions of Representations; Application of Extension Theorem; THE STRUCTURE OF COMPLEX LIE GROUPS; Abelian Complex Analytic Groups; Semisimple Complex Analytic Groups; Reductive Complex Analytic Groups; Maximal Compact Subgroups and Reductivity; Representation Radical of Analytic Groups; Faithfully Representable Groups; Conjugacy of Reductive Subgroups; Unipotent Hull of Faithfully Representable Groups; ALGEBRAIC SUBGROUPS OF COMPLEX LIE GROUPS; Algebraic Subgroups of Analytic Groups; Extension of Representations and Representative Functions; Algebraic Group Structure of Reductive Subgroups; The Maximal Algebraic Subgroup; Further Properties of Reductive Groups; OBSERVABILITY IN COMPLEX ANALYTIC GROUPS; Pro-Affine Algebraic Groups and Observability; Affine Algebraic Groups and Observability; Algebraic Hull of Observable Analytic Subgroups; Extension of Analytic Representative Functions; Structure of Observable Subgroups of Complex Lie Groups; APPENDIXCOMPLEX LIE GROUPS; Almost Complex Structure; Complex Lie Groups; Examples of Complex Lie Groups; Automorphism Groups and Semidirect Products; Universal Complexification of Real Lie Groups; REPRESENTATIVE FUNCTIONS OF LIE GROUPS; Basic Definitions of Representations; Representative Functions and Proper Automorphisms; Analytic Representative Functions; Universal Algebraic Hull; Relative Algebras of Representative Functions; Unipotent Hull; EXTENSION OF REPRESENTATIONS; Some Examples; Decomposition of R(G); Extension Lemmas; Extensions of Representations; Application of Extension Theorem; THE STRUCTURE OF COMPLEX LIE GROUPS; Abelian Complex Analytic Groups; Semisimple Complex Analytic Groups; Reductive Complex Analytic Groups; Maximal Compact Subgroups and Reductivity; Representation Radical of Analytic Groups; Faithfully Representable Groups; Conjugacy of Reductive Subgroups; Unipotent Hull of Faithfully Representable Groups; ALGEBRAIC SUBGROUPS OF COMPLEX LIE GROUPS; Algebraic Subgroups of Analytic Groups; Extension of Representations and Representative Functions; Algebraic Group Structure of Reductive Subgroups; The Maximal Algebraic Subgroup; Further Properties of Reductive Groups; OBSERVABILITY IN COMPLEX ANALYTIC GROUPS; Pro-Affine Algebraic Groups and Observability; Affine Algebraic Groups and Observability; Algebraic Hull of Observable Analytic Subgroups; Extension of Analytic Representative Functions; Structure of Observable Subgroups of Complex Lie Groups; APPENDIX 1: Elementary Theory of Lie Algebras; APPENDIX 2: Pro-Affine Algebraic Groups … (more)
- Publisher Details:
- Boca Raton : Chapman & Hall/CRC
- Publication Date:
- 2002
- Extent:
- 1 online resource (x, 218 pages), illustrations
- Subjects:
- 512/.55
Lie groups
Lie, Groupes de
MATHEMATICS -- Algebra -- Linear
Lie groups
Grupos de lie
Electronic books - Languages:
- English
- ISBNs:
- 1420035452
9781420035452 - Related ISBNs:
- 1584882611
9781584882619 - Notes:
- Note: Includes bibliographical references and index.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.157642
- Ingest File:
- 01_101.xml