Primitive orthogonal idempotents for R-trivial monoids
International audience We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid. Nous construisons une formule récursive pour un systèm...
Main Authors: | , , , |
---|---|
Other Authors: | , , , , , , , , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2011
|
Subjects: | |
Online Access: | https://hal.inria.fr/hal-01215086 https://hal.inria.fr/hal-01215086/document https://hal.inria.fr/hal-01215086/file/dmAO0112.pdf |
id |
ftccsdartic:oai:HAL:hal-01215086v1 |
---|---|
record_format |
openpolar |
spelling |
ftccsdartic:oai:HAL:hal-01215086v1 2023-05-15T16:48:17+02:00 Primitive orthogonal idempotents for R-trivial monoids Berg, Chris Bergeron, Nantel Bhargava, Sandeep Saliola, Franco Fields Institute for Research In Mathematical Sciences York University Toronto Laboratoire de combinatoire et d'informatique mathématique Montréal (LaCIM) Université du Québec à Montréal = University of Québec in Montréal (UQAM)-Centre de Recherches Mathématiques Montréal (CRM) Université de Montréal (UdeM)-Université de Montréal (UdeM) Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel Reykjavik, Iceland 2011 https://hal.inria.fr/hal-01215086 https://hal.inria.fr/hal-01215086/document https://hal.inria.fr/hal-01215086/file/dmAO0112.pdf en eng HAL CCSD Discrete Mathematics and Theoretical Computer Science DMTCS hal-01215086 https://hal.inria.fr/hal-01215086 https://hal.inria.fr/hal-01215086/document https://hal.inria.fr/hal-01215086/file/dmAO0112.pdf info:eu-repo/semantics/OpenAccess ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-01215086 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.123-134 0-Hecke algebras left regular bands monoids primitive orthogonal idempotents [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] info:eu-repo/semantics/conferenceObject Conference papers 2011 ftccsdartic 2020-12-25T18:15:03Z International audience We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid. Nous construisons une formule récursive pour un système complet d'idempotents orthogonaux primitifs pour tout monoïde R-trivial. Nous employons une nouvelle équivalence entre les notions de monoïde R-trivial et de monoïde faiblement ordonné. Conference Object Iceland Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
institution |
Open Polar |
collection |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
op_collection_id |
ftccsdartic |
language |
English |
topic |
0-Hecke algebras left regular bands monoids primitive orthogonal idempotents [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
spellingShingle |
0-Hecke algebras left regular bands monoids primitive orthogonal idempotents [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] Berg, Chris Bergeron, Nantel Bhargava, Sandeep Saliola, Franco Primitive orthogonal idempotents for R-trivial monoids |
topic_facet |
0-Hecke algebras left regular bands monoids primitive orthogonal idempotents [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO] [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM] |
description |
International audience We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid. Nous construisons une formule récursive pour un système complet d'idempotents orthogonaux primitifs pour tout monoïde R-trivial. Nous employons une nouvelle équivalence entre les notions de monoïde R-trivial et de monoïde faiblement ordonné. |
author2 |
Fields Institute for Research In Mathematical Sciences York University Toronto Laboratoire de combinatoire et d'informatique mathématique Montréal (LaCIM) Université du Québec à Montréal = University of Québec in Montréal (UQAM)-Centre de Recherches Mathématiques Montréal (CRM) Université de Montréal (UdeM)-Université de Montréal (UdeM) Bousquet-Mélou Mireille and Wachs Michelle and Hultman Axel |
format |
Conference Object |
author |
Berg, Chris Bergeron, Nantel Bhargava, Sandeep Saliola, Franco |
author_facet |
Berg, Chris Bergeron, Nantel Bhargava, Sandeep Saliola, Franco |
author_sort |
Berg, Chris |
title |
Primitive orthogonal idempotents for R-trivial monoids |
title_short |
Primitive orthogonal idempotents for R-trivial monoids |
title_full |
Primitive orthogonal idempotents for R-trivial monoids |
title_fullStr |
Primitive orthogonal idempotents for R-trivial monoids |
title_full_unstemmed |
Primitive orthogonal idempotents for R-trivial monoids |
title_sort |
primitive orthogonal idempotents for r-trivial monoids |
publisher |
HAL CCSD |
publishDate |
2011 |
url |
https://hal.inria.fr/hal-01215086 https://hal.inria.fr/hal-01215086/document https://hal.inria.fr/hal-01215086/file/dmAO0112.pdf |
op_coverage |
Reykjavik, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
ISSN: 1462-7264 EISSN: 1365-8050 Discrete Mathematics and Theoretical Computer Science 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) https://hal.inria.fr/hal-01215086 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.123-134 |
op_relation |
hal-01215086 https://hal.inria.fr/hal-01215086 https://hal.inria.fr/hal-01215086/document https://hal.inria.fr/hal-01215086/file/dmAO0112.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1766038385116315648 |