Symmetric functions and Hall polynomials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1998
|
| Edition: | 2. ed., reprint., 1. print. in paperback |
| Series: | Oxford mathematical monographs
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 475 S. graph. Darst. |
| ISBN: | 0198534892 0198504500 |
Staff View
MARC
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| 100 | 1 | |a Macdonald, Ian G. |d 1928- |e Verfasser |0 (DE-588)123369258 |4 aut | |
| 245 | 1 | 0 | |a Symmetric functions and Hall polynomials |c I. G. Macdonald |
| 250 | |a 2. ed., reprint., 1. print. in paperback | ||
| 264 | 1 | |a Oxford |b Clarendon Press |c 1998 | |
| 300 | |a X, 475 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Oxford mathematical monographs | |
| 650 | 4 | |a Fonctions symétriques | |
| 650 | 4 | |a Groupes abéliens | |
| 650 | 4 | |a Groupes finis | |
| 650 | 4 | |a Hall, Polynômes de | |
| 650 | 4 | |a Abelian groups | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Hall polynomials | |
| 650 | 4 | |a Symmetric functions | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008962308 | ||
Record in the Search Index
| _version_ | 1804127854012661760 |
|---|---|
| adam_text | Contents
I. SYMMETRIC FUNCTIONS
1.
Partitions
1
2.
The ring of symmetric functions
17
3. Schur
functions
40
4.
Orthogonality
62
5.
Skew
Schur
functions
69
6.
Transition matrices
99
7.
The characters of the symmetric groups
112
8.
Plethysm
135
9.
The Littlewood-Richardson rule
142
Appendix A: Polynomial functors and polynomial representations
149
Appendix B: Characters of wreath products
169
II. HALL POLYNOMIALS
1.
Finite o-modules
179
2.
The Hall algebra
182
3.
The ¿^-sequence of
a submodule
184
4.
The Hall polynomial
187
Appendix (by A. Zelevinsky): Another proof of Hall s theorem
199
III. HALL-LITTLEWOOD SYMMETRIC
FUNCTIONS
1.
The symmetric polynomials
йл
204
2.
Hali-Littlewood functions
208
3.
The Hall algebra again
215
4.
Orthogonality
222
5.
Skew Hali-Littlewood functions
226
6.
Transition matrices
238
7.
Green s polynomials
246
8.
Schur s ¿-functions
250
IV. THE CHARACTERS OF GLn OVER
A FINITE FIELD
1.
The groups
L
and
M
269
2.
Conjugacy classes
270
3.
Induction from parabolic subgroups
273
4.
The characteristic map
276
5.
Construction of the characters
280
χ
CONTENTS
б.
The irreducible characters
284
Appendix: proof of
(5.1) 291
V. THE
HECKE
RING OF GLn OVER
A LOCAL FIELD
1.
Local fields
292
2.
The
Hecke
ring H{G, K)
293
3.
Spherical functions
298
4. Hecke
series and
zeta
functions for
GL„(F) 300
5. Hecke
series and
zeta
functions for GSp2n{F)
302
VI. SYMMETRIC FUNCTIONS WITH
TWO PARAMETERS
1.
Introduction
305
2.
Orthogonality
309
3.
The operators Drn
315
4.
The symmetric functions Px(x;q, t)
321
5.
Duality
327
6.
Pieri
formulas
331
7.
The skew functions
Ρλ/μ,
Qx/p,
343
8.
Integral forms
352
9.
Another scalar product
368
10.
Jack s symmetric functions
376
VII.
ZONAL POLYNOMIALS
1.
Gelfand pairs and zonal spherical functions
388
2.
The Gelfand pair
(S,,,
Hn)
401
3.
The Gelfand pair (GL,,(R), O(n))
414
4.
Integral formulas
424
5.
The complex case
440
6.
The quaternionic case
446
BIBLIOGRAPHY
457
NOTATION
467
INDEX
473
|
| any_adam_object | 1 |
| author | Macdonald, Ian G. 1928- |
| author_GND | (DE-588)123369258 |
| author_facet | Macdonald, Ian G. 1928- |
| author_role | aut |
| author_sort | Macdonald, Ian G. 1928- |
| author_variant | i g m ig igm |
| building | Verbundindex |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 260 |
| ctrlnum | (OCoLC)46516833 (DE-599)BVBBV013154452 |
| dewey-full | 515.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.55 |
| dewey-search | 515.55 |
| dewey-sort | 3515.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed., reprint., 1. print. in paperback |
| format | Book |
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| id | DE-604.BV013154452 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:39:57Z |
| institution | BVB |
| isbn | 0198534892 0198504500 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008962308 |
| oclc_num | 46516833 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-11 |
| physical | X, 475 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs |
| spelling | Macdonald, Ian G. 1928- Verfasser (DE-588)123369258 aut Symmetric functions and Hall polynomials I. G. Macdonald 2. ed., reprint., 1. print. in paperback Oxford Clarendon Press 1998 X, 475 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Fonctions symétriques Groupes abéliens Groupes finis Hall, Polynômes de Abelian groups Finite groups Hall polynomials Symmetric functions Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Hall-Polynom (DE-588)4158856-3 gnd rswk-swf Symmetrische Funktion (DE-588)4342453-3 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Hall-Polynom (DE-588)4158856-3 s Symmetrische Funktion (DE-588)4342453-3 s DE-604 Abelsche Gruppe (DE-588)4140988-7 s Endliche Gruppe (DE-588)4014651-0 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008962308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Macdonald, Ian G. 1928- Symmetric functions and Hall polynomials Fonctions symétriques Groupes abéliens Groupes finis Hall, Polynômes de Abelian groups Finite groups Hall polynomials Symmetric functions Abelsche Gruppe (DE-588)4140988-7 gnd Hall-Polynom (DE-588)4158856-3 gnd Symmetrische Funktion (DE-588)4342453-3 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4140988-7 (DE-588)4158856-3 (DE-588)4342453-3 (DE-588)4014651-0 |
| title | Symmetric functions and Hall polynomials |
| title_auth | Symmetric functions and Hall polynomials |
| title_exact_search | Symmetric functions and Hall polynomials |
| title_full | Symmetric functions and Hall polynomials I. G. Macdonald |
| title_fullStr | Symmetric functions and Hall polynomials I. G. Macdonald |
| title_full_unstemmed | Symmetric functions and Hall polynomials I. G. Macdonald |
| title_short | Symmetric functions and Hall polynomials |
| title_sort | symmetric functions and hall polynomials |
| topic | Fonctions symétriques Groupes abéliens Groupes finis Hall, Polynômes de Abelian groups Finite groups Hall polynomials Symmetric functions Abelsche Gruppe (DE-588)4140988-7 gnd Hall-Polynom (DE-588)4158856-3 gnd Symmetrische Funktion (DE-588)4342453-3 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Fonctions symétriques Groupes abéliens Groupes finis Hall, Polynômes de Abelian groups Finite groups Hall polynomials Symmetric functions Abelsche Gruppe Hall-Polynom Symmetrische Funktion Endliche Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008962308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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