Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1):
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Math. Soc.
1987
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
362 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 65, Number 362 (end of volume) |
| Beschreibung: | X, 146 S. |
| ISBN: | 0821824236 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV003681989 | ||
| 003 | DE-604 | ||
| 005 | 20151001 | ||
| 007 | t | ||
| 008 | 900725s1987 |||| 00||| eng d | ||
| 020 | |a 0821824236 |9 0-8218-2423-6 | ||
| 035 | |a (OCoLC)14904328 | ||
| 035 | |a (DE-599)BVBBV003681989 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-824 |a DE-12 |a DE-29T |a DE-739 |a DE-355 |a DE-91G |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 512/.55 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 100 | 1 | |a Mandia, Marly |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 1987 | |
| 300 | |a X, 146 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 362 | |
| 500 | |a Volume 65, Number 362 (end of volume) | ||
| 650 | 4 | |a Lie algebras | |
| 650 | 4 | |a Modules (Algebra) | |
| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modul |0 (DE-588)4129770-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lie-Algebra |0 (DE-588)4130355-6 |D s |
| 689 | 0 | 1 | |a Modul |0 (DE-588)4129770-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 362 |w (DE-604)BV008000141 |9 362 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002342547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002342547 | ||
Datensatz im Suchindex
| _version_ | 1804118025848225792 |
|---|---|
| adam_text | TABLE OF CONTENTS
Page
INTRODUCTION vii
CHAPTER 1: PRELIMINARIES
§1.1 The principal picture of the affine Lie
algebras of type X 1
§1.2 The algebra ZL() and tne vacuum space .. 6
§1.3 The generalized commutation relations
fOr ZLU) n
§1.4 The principal character for the affine Lie
algebras, and the basic modules 13
CHAPTER 2: STRUCTURE OF THE STANDARD Bjj MODULES
OF LEVEL ONE
§2.1 B as a subalgebra of D 22
§2.2 The principal Cartan subalgebras of D
and B and the corresponding principal
automorphisms 26
§2.3 The standard B modules of level 1 39
CHAPTER 3: STRUCTURE OF THE STANDARD (L MODULES
OF LEVEL ONE
§3.1 G as a subslgebra of D4 59
§3.2 The principal Cartan subalgebras of D,
and G2 and the corresponding principal
automorphisms 63
§3.3 The generalized anticommutation relations
for zT(i when L(X) is a standard
Gj module of level one 73
§3.4 The standard G~ modules of level one 94
CHAPTER 4: STRUCTURE OF THE STANDARD F. MODULES
OF LEVEL ONE
§4.1 F, as a subalgebra of E 102
§4.2 The principal Cartan subalgebras of E
and F, and the corresponding principal
automorphisms 106
iii
iv CONTENTS
Page
4.3 The generalized anticommutation
relations for zL(x) when L(X)
is a standard F. module of level one ....118
** 4
4.4 The standard F, modules of level one ....139
4
REFERENCES 144
|
| any_adam_object | 1 |
| author | Mandia, Marly |
| author_facet | Mandia, Marly |
| author_role | aut |
| author_sort | Mandia, Marly |
| author_variant | m m mm |
| building | Verbundindex |
| bvnumber | BV003681989 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)14904328 (DE-599)BVBBV003681989 |
| dewey-full | 512/.55 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.55 510 |
| dewey-search | 512/.55 510 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01701nam a2200421 cb4500</leader><controlfield tag="001">BV003681989</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20151001 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1987 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821824236</subfield><subfield code="9">0-8218-2423-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)14904328</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003681989</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mandia, Marly</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1)</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Math. Soc.</subfield><subfield code="c">1987</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 146 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">362</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 65, Number 362 (end of volume)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modules (Algebra)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modul</subfield><subfield code="0">(DE-588)4129770-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lie-Algebra</subfield><subfield code="0">(DE-588)4130355-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Modul</subfield><subfield code="0">(DE-588)4129770-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">362</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">362</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002342547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002342547</subfield></datafield></record></collection> |
| id | DE-604.BV003681989 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:44Z |
| institution | BVB |
| isbn | 0821824236 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002342547 |
| oclc_num | 14904328 |
| open_access_boolean | |
| owner | DE-384 DE-824 DE-12 DE-29T DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-188 DE-83 |
| owner_facet | DE-384 DE-824 DE-12 DE-29T DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-188 DE-83 |
| physical | X, 146 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Mandia, Marly Verfasser aut Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) Providence, R.I. American Math. Soc. 1987 X, 146 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 362 Volume 65, Number 362 (end of volume) Lie algebras Modules (Algebra) Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Modul (DE-588)4129770-2 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 362 (DE-604)BV008000141 362 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002342547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mandia, Marly Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) American Mathematical Society: Memoirs of the American Mathematical Society Lie algebras Modules (Algebra) Lie-Algebra (DE-588)4130355-6 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4129770-2 |
| title | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_auth | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_exact_search | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_full | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_fullStr | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_full_unstemmed | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_short | Structure of the level one standard modules for the affine Lie algebras B l (1), F 4 (1) and G 2 (1) |
| title_sort | structure of the level one standard modules for the affine lie algebras b l 1 f 4 1 and g 2 1 |
| topic | Lie algebras Modules (Algebra) Lie-Algebra (DE-588)4130355-6 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Lie algebras Modules (Algebra) Lie-Algebra Modul |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002342547&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT mandiamarly structureofthelevelonestandardmodulesfortheaffineliealgebrasbl1f41andg21 |