Representations of affine Lie Algebras:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston
Queen's Univ.
1997
|
| Series: | Queen's papers in pure and applied mathematics
106 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 89 S. |
| ISBN: | 088911756X |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
Introduction
Part I. Parabolic subsets of affine root systems and corresponding representations
1 Preliminaries on Affine Lie algebras and their representations
2 Parabolic subsets of affine root systems
3 Borel and parabolic subalgebras and corresponding representations
Part II. Non dense modules
4 Irreducible graded representations of the Heisenberg subalgebra
4.1 G modules of non zero level
4.2 G modules of zero level
5 Verma type modules
5.1 General properties
5.2 Imaginary Verma modules
5.3 Verma type modules of non zero level
5.3.1 BGG resolution for Verma type modules of non zero level
5.4 Verma type modules of zero level
5.4.1 Structure of modules Afy(A)
5.4.2 Irreducible quotients of Mx(A). Case 1
5.4.3 Irreducible quotients of Mx(A). Case 2
5.4.4 Strong BGG resolution for modules M(A0)
6 Generalized Verma type modules
6.1 Non standard generalized Verma modules
6.1.1 Non standard generalized Verma modules of non zero level
6.1.2 Non standard generalized Verma modules of zero level
6.2 Generalized Verma modules
6.2.1 Generalized Verma modules for A
7 Generalized loop modules
7.1 Loop modules
V
8 On the classification of irreducible non dense modules
8.1 Proof of the conjecture for algebra A and classification of irreducible non dense
Aj modules with a finite dimensional weight subspace
Part III. Irreducible weight modules of a non zero level with with finite dimensional weight
spaces
9 Non density of irreducible modules of a non zero level with finite dimensional weight
spaces
10 Existence of an admissible element in irreducible An module of non zero level with
finite dimensional weight spaces
11 Some combinatorics of the root system of An
12 Weakly admissible elements and a characterization of irreducible modules
Part IV. Categories of {/ modules with Bernstein Gelfand Gelfand duality
13 Categories of m modules
13.1 Truncated categories of m modules
14 Categories of (/ modules of non zero level
15 Categories (/ modules of zero level
16 Truncated categories of (/ modules
16.1 Some other examples of categories with BGG duality
vi
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| any_adam_object | 1 |
| author | Futorny, Vjačeslav M. |
| author_facet | Futorny, Vjačeslav M. |
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| id | DE-604.BV012132101 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:22:15Z |
| institution | BVB |
| isbn | 088911756X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008216780 |
| oclc_num | 39607187 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-703 |
| owner_facet | DE-355 DE-BY-UBR DE-703 |
| physical | XI, 89 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Futorny, Vjačeslav M. Verfasser aut Representations of affine Lie Algebras by Vyacheslav M. Futorny Kingston Queen's Univ. 1997 XI, 89 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 106 Lie, Algèbres de ram Representations of Lie algebras Affine Lie-Algebra (DE-588)4141571-1 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Affine Lie-Algebra (DE-588)4141571-1 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Queen's papers in pure and applied mathematics 106 (DE-604)BV001889470 106 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008216780&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Futorny, Vjačeslav M. Representations of affine Lie Algebras Queen's papers in pure and applied mathematics Lie, Algèbres de ram Representations of Lie algebras Affine Lie-Algebra (DE-588)4141571-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| subject_GND | (DE-588)4141571-1 (DE-588)4148816-7 |
| title | Representations of affine Lie Algebras |
| title_auth | Representations of affine Lie Algebras |
| title_exact_search | Representations of affine Lie Algebras |
| title_full | Representations of affine Lie Algebras by Vyacheslav M. Futorny |
| title_fullStr | Representations of affine Lie Algebras by Vyacheslav M. Futorny |
| title_full_unstemmed | Representations of affine Lie Algebras by Vyacheslav M. Futorny |
| title_short | Representations of affine Lie Algebras |
| title_sort | representations of affine lie algebras |
| topic | Lie, Algèbres de ram Representations of Lie algebras Affine Lie-Algebra (DE-588)4141571-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd |
| topic_facet | Lie, Algèbres de Representations of Lie algebras Affine Lie-Algebra Darstellungstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008216780&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT futornyvjaceslavm representationsofaffineliealgebras |