The Structure of Compact Groups : : A Primer for the Student – A Handbook for the Expert / / Karl H. Hofmann, Sidney A. Morris.
The subject matter of compact groups is frequently cited in fi elds like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a text for upper level graduate students, and of being a source book for researchers who need the structure and rep...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
Year of Publication: | 2023 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
25 |
Online Access: | |
Physical Description: | 1 online resource (XLI, 1032 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
LEADER | 06365nam a2200781Ia 4500 | ||
---|---|---|---|
001 | 9783111172606 | ||
003 | DE-B1597 | ||
005 | 20240602123719.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr || |||||||| | ||
008 | 240602t20232023gw fo d z eng d | ||
020 | |a 9783111172606 | ||
024 | 7 | |a 10.1515/9783111172606 |2 doi | |
035 | |a (DE-B1597)645037 | ||
035 | |a (OCoLC)1408681982 | ||
040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
041 | 0 | |a eng | |
044 | |a gw |c DE | ||
072 | 7 | |a MAT002000 |2 bisacsh | |
082 | 0 | 4 | |a 512/.55 |
100 | 1 | |a Hofmann, Karl H., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 4 | |a The Structure of Compact Groups : |b A Primer for the Student – A Handbook for the Expert / |c Karl H. Hofmann, Sidney A. Morris. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2023] | |
264 | 4 | |c ©2023 | |
300 | |a 1 online resource (XLI, 1032 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 25 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface to the Fifth Edition -- |t Highlights of the Structure Theory of Compact Groups -- |t Preface to the Fourth Edition -- |t Preface to the Second and Third Editions -- |t Preface to the First Edition -- |t Contents -- |t Chapter 1. Basic Topics and Examples -- |t Chapter 2. The Basic Representation Theory of Compact Groups -- |t Chapter 3. The Ideas of Peter & Weyl, Tannaka, Hopf, & Hochschild -- |t Chapter 4. Characters -- |t Chapter 5. Linear Lie Groups -- |t Chapter 6. Compact Lie Groups -- |t Chapter 7. Duality of Abelian Topological Groups -- |t Chapter 8. Compact Abelian Groups -- |t Chapter 9. The Structure of Compact Groups -- |t Chapter 10. Compact Group Actions -- |t Chapter 11. The Structure of Free Compact Groups -- |t Chapter 12. Cardinal Invariants of Compact Groups -- |t Appendix 1. Abelian Groups -- |t Appendix 2. Covering Spaces and Groups -- |t Appendix 3. A Primer of Category Theory -- |t Appendix 4. Selected Results on Topology and Topological Groups -- |t Appendix 5. Measures on Compact Groups -- |t Appendix 6. Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups -- |t Appendix 7. Weakly Complete Vector Spaces and Algebras -- |t References -- |t Index of Symbols -- |t Index -- |t De Gruyter Studies in Mathematics |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a The subject matter of compact groups is frequently cited in fi elds like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a text for upper level graduate students, and of being a source book for researchers who need the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups and on locally compact abelian groups.Appended chapters contain the material for self-contained courses on abelian groups and on category theory.Using the Lie algebras and the exponential function of arbitrary compact groups, the book avoids unnecessary restrictions to finite dimensional or abelian compact groups. Earlier editions of 1998, 2006, 2013, and 2020 have been "ed for instruction and research. The present edition conceptually sharpens, polishes, and improves the earlier material. For instance, it includes a treatment of the Bohr compactifi cation of topological groups which fi ts perfectly into the general treatment of adjoint functors that the book treats in an appendix of its own, and which, in the abelian environment, connects neatly with the Pontryagin--van Kampen duality of compact abelian groups having been discussed in the book in great detail. The link between arbitrary compact groups and their weakly complete group algebras is as extensively discussed as is now the theory of weakly complete universal enveloping algebras of the Lie algebras of compact groups. All of this is based on the category of weakly complete real and complex vector spaces and its precise duality to the category of ordinary real, respectively, complex vector spaces, is treated in an appendix systematically. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Jun 2024) | |
650 | 4 | |a Abelsche Gruppen. | |
650 | 4 | |a Kategorientheorie. | |
650 | 4 | |a Kompakte Gruppen. | |
650 | 4 | |a Luge Algebra. | |
650 | 4 | |a Topologische Gruppen. | |
650 | 7 | |a MATHEMATICS / Algebra / General. |2 bisacsh | |
653 | |a Abelian groups, category theory, compact groups, Lie algebra, topological groups. | ||
700 | 1 | |a Morris, Sidney A., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2023 Part 1 |z 9783111175782 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 English |z 9783111319292 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2023 |z 9783111318912 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 English |z 9783111319209 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2023 |z 9783111318608 |o ZDB-23-DMA |
776 | 0 | |c EPUB |z 9783111174051 | |
776 | 0 | |c print |z 9783111171630 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783111172606 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783111172606 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783111172606/original |
912 | |a 978-3-11-117578-2 DG Plus DeG Package 2023 Part 1 |b 2023 | ||
912 | |a 978-3-11-131920-9 EBOOK PACKAGE Mathematics 2023 English |b 2023 | ||
912 | |a 978-3-11-131929-2 EBOOK PACKAGE COMPLETE 2023 English |b 2023 | ||
912 | |a EBA_CL_MTPY | ||
912 | |a EBA_DGALL | ||
912 | |a EBA_EBKALL | ||
912 | |a EBA_ECL_MTPY | ||
912 | |a EBA_EEBKALL | ||
912 | |a EBA_ESTMALL | ||
912 | |a EBA_STMALL | ||
912 | |a GBV-deGruyter-alles | ||
912 | |a ZDB-23-DGG |b 2023 | ||
912 | |a ZDB-23-DMA |b 2023 |