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Discrete Mathematics & Theoretical Computer Science |
Marcelo Aguiar ; Jean-Christophe Novelli ; Jean-Yves Thibon - Unital versions of the higher order peak algebras
dmtcs:2729 - Discrete Mathematics & Theoretical Computer Science, January 1, 2009, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) - https://doi.org/10.46298/dmtcs.2729Unital versions of the higher order peak algebrasArticle
Authors: Marcelo Aguiar 1; Jean-Christophe Novelli 2; Jean-Yves Thibon 
2
- 1 Department of Mathematics [Texas]
- 2 Laboratoire d'Informatique Gaspard-Monge
We construct unital extensions of the higher order peak algebras defined by Krob and the third author in [Ann. Comb. 9 (2005), 411―430], and show that they can be obtained as homomorphic images of certain subalgebras of the Mantaci-Reutenauer algebras of type $B$. This generalizes a result of Bergeron, Nyman and the first author [Trans. AMS 356 (2004), 2781―2824].
Source: HAL:hal-00823077v1
Volume: DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
Section: Proceedings
Published on: January 1, 2009
Imported on: January 31, 2017
Keywords: Descent algebras,Noncommutative symmetric functions,Peak algebras,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
- Source : OpenAIRE Graph
- Algebra and Combinatorics of Free Structures; Funder: National Science Foundation; Code: 0600973
- Algèbres de Hopf combinatoires, opérades et props; Funder: French National Research Agency (ANR); Code: ANR-06-BLAN-0380
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