Integral bases for affine Lie algebras and their universal enveloping algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1985
|
| Schriftenreihe: | Contemporary mathematics
40 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 159 S. |
| ISBN: | 0821850431 |
Internformat
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| 100 | 1 | |a Mitzman, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Integral bases for affine Lie algebras and their universal enveloping algebras |c David Mitzman |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1985 | |
| 300 | |a VII, 159 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Contemporary mathematics |v 40 | |
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| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
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| 689 | 1 | |5 DE-604 | |
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Datensatz im Suchindex
| _version_ | 1804114879202721792 |
|---|---|
| adam_text | Table of Contents
1. Introduction 1
2. Chevalley bases for semisimple and type 1 affine Lie
algebras of types A, D, E 9
2.1 The construction of £(A) for A = A., D., E. .... 9
¦ Xf Xr JC
2.2 The construction of ji(A) for A = A^, D^, E^K . 21
2.3 The structure constants with respect to a
Chevalley basis 29
3. Chevalley bases for the remaining semisimple and
affine Lie algebras 38
3.1 Notation 38
3.2 The cases B^ (j _ 2), Cj (j _ 2), F4 . . . 43
3.3 The cases bJ1} (j _2), cjl} (j ^2), fJ1* 53
3.4 The cases a|j i ^ i2) D]+i ^ ^2), E^2) 59
3.5 The case a|? (j _ 1) 65
3.6 The case G2 77
3.7 The case G^ 85
3.8 The case d|3) 89
3.9 The structure constants with respect to a
Chevalley basis 96
4. Integral forms of. enveloping algebras of affine
Lie algebras Ill
4.1 Notation and preliminary lemmas 1ll
4.2 The integral form Uj, 117
4.3 The proof of Theorem 4.2.6 for type 1 affine
Lie algebras 123
4.4 The proof of Theorem 4.2.6 for affine Lie algebras
of types 2 and 3 139
Appendix 156
References 158
vii
|
| any_adam_object | 1 |
| author | Mitzman, David |
| author_facet | Mitzman, David |
| author_role | aut |
| author_sort | Mitzman, David |
| author_variant | d m dm |
| building | Verbundindex |
| bvnumber | BV000418391 |
| classification_rvk | SI 805 |
| classification_tum | MAT 173f |
| ctrlnum | (OCoLC)260184591 (DE-599)BVBBV000418391 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000418391 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:13:44Z |
| institution | BVB |
| isbn | 0821850431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000258419 |
| oclc_num | 260184591 |
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| physical | VII, 159 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Contemporary mathematics |
| series2 | Contemporary mathematics |
| spelling | Mitzman, David Verfasser aut Integral bases for affine Lie algebras and their universal enveloping algebras David Mitzman Providence, RI American Math. Soc. 1985 VII, 159 S. txt rdacontent n rdamedia nc rdacarrier Contemporary mathematics 40 Affine Lie-Algebra (DE-588)4141571-1 gnd rswk-swf Ganzheitsbasis (DE-588)4318674-9 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Affine Lie-Algebra (DE-588)4141571-1 s Ganzheitsbasis (DE-588)4318674-9 s DE-604 Lie-Algebra (DE-588)4130355-6 s Erscheint auch als Online-Ausgabe 978-0-8218-7625-1 Contemporary mathematics 40 (DE-604)BV000003365 40 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000258419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mitzman, David Integral bases for affine Lie algebras and their universal enveloping algebras Contemporary mathematics Affine Lie-Algebra (DE-588)4141571-1 gnd Ganzheitsbasis (DE-588)4318674-9 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4141571-1 (DE-588)4318674-9 (DE-588)4130355-6 |
| title | Integral bases for affine Lie algebras and their universal enveloping algebras |
| title_auth | Integral bases for affine Lie algebras and their universal enveloping algebras |
| title_exact_search | Integral bases for affine Lie algebras and their universal enveloping algebras |
| title_full | Integral bases for affine Lie algebras and their universal enveloping algebras David Mitzman |
| title_fullStr | Integral bases for affine Lie algebras and their universal enveloping algebras David Mitzman |
| title_full_unstemmed | Integral bases for affine Lie algebras and their universal enveloping algebras David Mitzman |
| title_short | Integral bases for affine Lie algebras and their universal enveloping algebras |
| title_sort | integral bases for affine lie algebras and their universal enveloping algebras |
| topic | Affine Lie-Algebra (DE-588)4141571-1 gnd Ganzheitsbasis (DE-588)4318674-9 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Affine Lie-Algebra Ganzheitsbasis Lie-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000258419&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003365 |
| work_keys_str_mv | AT mitzmandavid integralbasesforaffineliealgebrasandtheiruniversalenvelopingalgebras |