Generalized noncrossing partitions and combinatorics of coxeter groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Math. Soc.
2009
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
949 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Revision of the author's thesis (Ph.D.)--Cornell University, 2006. -- "Volume 202, number 949 (third of 5 numbers)." Includes bibliographical references |
| Beschreibung: | IX, 159 S. graph. Darst. |
| ISBN: | 9780821844908 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV035801788 | ||
| 003 | DE-604 | ||
| 005 | 20130131 | ||
| 007 | t | ||
| 008 | 091102s2009 xxud||| |||| 00||| eng d | ||
| 010 | |a 2009029178 | ||
| 020 | |a 9780821844908 |c alk. paper |9 978-0-8218-4490-8 | ||
| 035 | |a (OCoLC)429227034 | ||
| 035 | |a (DE-599)BVBBV035801788 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-29T |a DE-11 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA164.8 | |
| 082 | 0 | |a 511/.62 | |
| 100 | 1 | |a Armstrong, Drew |d 1979- |e Verfasser |0 (DE-588)139640010 |4 aut | |
| 245 | 1 | 0 | |a Generalized noncrossing partitions and combinatorics of coxeter groups |c Drew Armstrong |
| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2009 | |
| 300 | |a IX, 159 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 949 | |
| 500 | |a Revision of the author's thesis (Ph.D.)--Cornell University, 2006. -- "Volume 202, number 949 (third of 5 numbers)." | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 4 | |a Combinatorial enumeration problems | |
| 650 | 4 | |a Combinatorial analysis | |
| 650 | 4 | |a Group actions (Mathematics) | |
| 650 | 0 | 7 | |a Kombinatorische Analysis |0 (DE-588)4164746-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppenoperation |0 (DE-588)4158467-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kombinatorische Analysis |0 (DE-588)4164746-4 |D s |
| 689 | 0 | 1 | |a Gruppenoperation |0 (DE-588)4158467-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 949 |w (DE-604)BV008000141 |9 949 | |
| 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=018660902&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018660902 | ||
Datensatz im Suchindex
| _version_ | 1804140748097978368 |
|---|---|
| adam_text | Titel: Generalized noncrossing partitions and combinatorics of Coxeter groups
Autor: Armstrong, Drew
Jahr: 2009
Contents
Acknowledgements ix
Chapter 1. Introduction 1
1.1. Goxeter-Catalan combinatorics 1
1.2. Noncrossing motivation 6
1.3. Outline of the memoir 9
Chapter 2. Coxeter Groups and Noncrossing Partitions 13
2.1. Coxeter systems 13
2.2. Root systems 16
2.3. Reduced words and weak order 19
2.4. Absolute order 22
2.5. Shifting and local self-duality 26
2.6. Coxeter elements and noncrossing partitions 29
2.7. Invariant theory and Catalan numbers 35
Chapter 3. fc-Divisible Noncrossing Partitions 41
3.1. Minimal factorizations 41
3.2. Multichains and delta sequences 42
3.3. Definition of A:-divisible noncrossing partitions 46
3.4. Basic properties of fc-divisible noncrossing partitions 48
3.5. Fuss-Catalan and Puss-Narayana numbers 59
3.6. The iterated construction and chain enumeration 66
3.7. Shellability and Euler characteristics 72
Chapter 4. The Classical Types 81
4.1. Classical noncrossing partitions 81
4.2. The classical Kreweras complement 87
4.3. Classical fc-divisible noncrossing partitions 92
4.4. Type A 102
4.5. Type B 104
4.6. Type D 111
Chapter 5. Puss-Catalan Combinatorics 115
5.1. Nonnesting partitions 115
5.2. Cluster complexes 128
5.3. Chapoton triangles 143
5.4. Future directions 147
Bibliography 155
V
|
| any_adam_object | 1 |
| author | Armstrong, Drew 1979- |
| author_GND | (DE-588)139640010 |
| author_facet | Armstrong, Drew 1979- |
| author_role | aut |
| author_sort | Armstrong, Drew 1979- |
| author_variant | d a da |
| building | Verbundindex |
| bvnumber | BV035801788 |
| callnumber-first | Q - Science |
| callnumber-label | QA164 |
| callnumber-raw | QA164.8 |
| callnumber-search | QA164.8 |
| callnumber-sort | QA 3164.8 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)429227034 (DE-599)BVBBV035801788 |
| dewey-full | 511/.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.62 |
| dewey-search | 511/.62 |
| dewey-sort | 3511 262 |
| 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>01932nam a2200457 cb4500</leader><controlfield tag="001">BV035801788</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130131 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">091102s2009 xxud||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2009029178</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821844908</subfield><subfield code="c">alk. paper</subfield><subfield code="9">978-0-8218-4490-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)429227034</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035801788</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA164.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.62</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Armstrong, Drew</subfield><subfield code="d">1979-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)139640010</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Generalized noncrossing partitions and combinatorics of coxeter groups</subfield><subfield code="c">Drew Armstrong</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">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 159 S.</subfield><subfield code="b">graph. Darst.</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">Memoirs of the American Mathematical Society</subfield><subfield code="v">949</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Revision of the author's thesis (Ph.D.)--Cornell University, 2006. -- "Volume 202, number 949 (third of 5 numbers)."</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial enumeration problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorial analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Group actions (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppenoperation</subfield><subfield code="0">(DE-588)4158467-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kombinatorische Analysis</subfield><subfield code="0">(DE-588)4164746-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gruppenoperation</subfield><subfield code="0">(DE-588)4158467-3</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">Memoirs of the American Mathematical Society</subfield><subfield code="v">949</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">949</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=018660902&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:BVB01-018660902</subfield></datafield></record></collection> |
| id | DE-604.BV035801788 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:04:54Z |
| institution | BVB |
| isbn | 9780821844908 |
| language | English |
| lccn | 2009029178 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018660902 |
| oclc_num | 429227034 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-11 DE-188 DE-83 |
| physical | IX, 159 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Armstrong, Drew 1979- Verfasser (DE-588)139640010 aut Generalized noncrossing partitions and combinatorics of coxeter groups Drew Armstrong Providence, R.I. American Math. Soc. 2009 IX, 159 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 949 Revision of the author's thesis (Ph.D.)--Cornell University, 2006. -- "Volume 202, number 949 (third of 5 numbers)." Includes bibliographical references Combinatorial enumeration problems Combinatorial analysis Group actions (Mathematics) Kombinatorische Analysis (DE-588)4164746-4 gnd rswk-swf Gruppenoperation (DE-588)4158467-3 gnd rswk-swf Kombinatorische Analysis (DE-588)4164746-4 s Gruppenoperation (DE-588)4158467-3 s DE-604 Memoirs of the American Mathematical Society 949 (DE-604)BV008000141 949 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018660902&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Armstrong, Drew 1979- Generalized noncrossing partitions and combinatorics of coxeter groups Memoirs of the American Mathematical Society Combinatorial enumeration problems Combinatorial analysis Group actions (Mathematics) Kombinatorische Analysis (DE-588)4164746-4 gnd Gruppenoperation (DE-588)4158467-3 gnd |
| subject_GND | (DE-588)4164746-4 (DE-588)4158467-3 |
| title | Generalized noncrossing partitions and combinatorics of coxeter groups |
| title_auth | Generalized noncrossing partitions and combinatorics of coxeter groups |
| title_exact_search | Generalized noncrossing partitions and combinatorics of coxeter groups |
| title_full | Generalized noncrossing partitions and combinatorics of coxeter groups Drew Armstrong |
| title_fullStr | Generalized noncrossing partitions and combinatorics of coxeter groups Drew Armstrong |
| title_full_unstemmed | Generalized noncrossing partitions and combinatorics of coxeter groups Drew Armstrong |
| title_short | Generalized noncrossing partitions and combinatorics of coxeter groups |
| title_sort | generalized noncrossing partitions and combinatorics of coxeter groups |
| topic | Combinatorial enumeration problems Combinatorial analysis Group actions (Mathematics) Kombinatorische Analysis (DE-588)4164746-4 gnd Gruppenoperation (DE-588)4158467-3 gnd |
| topic_facet | Combinatorial enumeration problems Combinatorial analysis Group actions (Mathematics) Kombinatorische Analysis Gruppenoperation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018660902&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT armstrongdrew generalizednoncrossingpartitionsandcombinatoricsofcoxetergroups |