Lectures on representations of complex semi-simple Lie groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1981
|
| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
66 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 91 S. |
| ISBN: | 3540108297 0387108297 |
Staff View
MARC
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| 100 | 1 | |a Enright, Thomas J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on representations of complex semi-simple Lie groups |c by Thomas J. Enright. Notes by Vyjayanthi Sundar |
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Record in the Search Index
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| adam_text | 1
Table of Contents
Section
1. Introduction and summary of results 2
2. The completion functors 15
3. Invariant pairings and forms 18
4. Lattices and the functor x 24
5. Translation functors 28
6. Construction of irreducible admissible (g ,l)~m°clules. ... 31
7. Resolutions of irreducible admissible (g,J) modules and
t multiplicity formulae 37
8. The principal series modules 43
9. The character formula for Z( ) 46
10. Determination of the irreducible admissible (g,t)
modules 53
11. An application to highest weight modules 59
12. Concepts from homological algebra 62
13. The category of admissible (g , 1 ) raodules 68
14. Preunitary pairings 75
15. Unitary representations and relative Lie algebra
cohomology 81
16. Connections with the derived functors introduced by
Zuckerraan 84
|
| any_adam_object | 1 |
| author | Enright, Thomas J. |
| author_facet | Enright, Thomas J. |
| author_role | aut |
| author_sort | Enright, Thomas J. |
| author_variant | t j e tj tje |
| building | Verbundindex |
| bvnumber | BV002223784 |
| callnumber-first | Q - Science |
| callnumber-label | QA387 |
| callnumber-raw | QA387 |
| callnumber-search | QA387 |
| callnumber-sort | QA 3387 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 890 SK 340 |
| ctrlnum | (OCoLC)8803643 (DE-599)BVBBV002223784 |
| dewey-full | 512.55 510.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512.55 510.4 |
| dewey-search | 512.55 510.4 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002223784 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:20Z |
| institution | BVB |
| isbn | 3540108297 0387108297 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001461233 |
| oclc_num | 8803643 |
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| physical | 91 S. |
| psigel | TUB-nveb |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Springer |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Enright, Thomas J. Verfasser aut Lectures on representations of complex semi-simple Lie groups by Thomas J. Enright. Notes by Vyjayanthi Sundar Berlin [u.a.] Springer 1981 91 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 66 Cohomologie algèbre Lie Lie, groupes de ram Lie-groepen gtt Représentation groupe Lie semi-simple Représentations de groupes ram Lie groups Representations of groups Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Darstellung (DE-588)4200624-7 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s Darstellung (DE-588)4200624-7 s DE-604 Halbeinfache Lie-Gruppe (DE-588)4122188-6 s Darstellungstheorie (DE-588)4148816-7 s Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 66 (DE-604)BV000015654 66 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001461233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Enright, Thomas J. Lectures on representations of complex semi-simple Lie groups Cohomologie algèbre Lie Lie, groupes de ram Lie-groepen gtt Représentation groupe Lie semi-simple Représentations de groupes ram Lie groups Representations of groups Lie-Gruppe (DE-588)4035695-4 gnd Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Darstellungstheorie (DE-588)4148816-7 gnd Darstellung (DE-588)4200624-7 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4122188-6 (DE-588)4148816-7 (DE-588)4200624-7 |
| title | Lectures on representations of complex semi-simple Lie groups |
| title_auth | Lectures on representations of complex semi-simple Lie groups |
| title_exact_search | Lectures on representations of complex semi-simple Lie groups |
| title_full | Lectures on representations of complex semi-simple Lie groups by Thomas J. Enright. Notes by Vyjayanthi Sundar |
| title_fullStr | Lectures on representations of complex semi-simple Lie groups by Thomas J. Enright. Notes by Vyjayanthi Sundar |
| title_full_unstemmed | Lectures on representations of complex semi-simple Lie groups by Thomas J. Enright. Notes by Vyjayanthi Sundar |
| title_short | Lectures on representations of complex semi-simple Lie groups |
| title_sort | lectures on representations of complex semi simple lie groups |
| topic | Cohomologie algèbre Lie Lie, groupes de ram Lie-groepen gtt Représentation groupe Lie semi-simple Représentations de groupes ram Lie groups Representations of groups Lie-Gruppe (DE-588)4035695-4 gnd Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Darstellungstheorie (DE-588)4148816-7 gnd Darstellung (DE-588)4200624-7 gnd |
| topic_facet | Cohomologie algèbre Lie Lie, groupes de Lie-groepen Représentation groupe Lie semi-simple Représentations de groupes Lie groups Representations of groups Lie-Gruppe Halbeinfache Lie-Gruppe Darstellungstheorie Darstellung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001461233&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT enrightthomasj lecturesonrepresentationsofcomplexsemisimpleliegroups |