Show simple item record

dc.contributor.authorBishop, Marcus
dc.contributor.authorPfeiffer, Götz
dc.date.accessioned2017-12-05T14:48:17Z
dc.date.available2017-12-05T14:48:17Z
dc.date.issued2013-03-18
dc.identifier.citationBishop, Marcus, & Pfeiffer, Götz. (2013). On the quiver presentation of the descent algebra of the symmetric group. Journal of Algebra, 383(Supplement C), 212-231. doi: https://doi.org/10.1016/j.jalgebra.2013.02.027en_IE
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/10379/7014
dc.description.abstractWe describe a presentation of the descent algebra of the symmetric group G(n) as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic image of an algebra of forests of binary trees, which can be identified with a subspace of the free Lie algebra. In this setting we provide a short new proof of the known fact that the quiver of the descent algebra of G(n) is given by restricted partition refinement. Moreover, we describe certain families of relations and conjecture that for fixed n is an element of N the finite set of relations from these families that are relevant for the descent algebra of G(n) generates the ideal of relations of an explicit quiver presentation of that algebra. (C) 2013 Elsevier Inc. All rights reserved.en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherElsevieren_IE
dc.relation.ispartofJournal Of Algebraen
dc.subjectDescent algebraen_IE
dc.subjectSymmetric groupen_IE
dc.subjectQuiveren_IE
dc.subjectPresentationen_IE
dc.subjectSOLOMONen_IE
dc.subjectDECOMPOSITIONen_IE
dc.subjectMathematicsen_IE
dc.titleOn the quiver presentation of the descent algebra of the symmetric groupen_IE
dc.typeArticleen_IE
dc.date.updated2017-12-04T13:48:54Z
dc.identifier.doi10.1016/j.jalgebra.2013.02.027
dc.local.publishedsourcehttps://doi.org/10.1016/j.jalgebra.2013.02.027en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funder|~|
dc.internal.rssid4340361
dc.local.contactGotz Pfeiffer, Dept. Of Mathematics, Room C208, Áras De Brún, Nui Galway. 3591 Email: goetz.pfeiffer@nuigalway.ie
dc.local.copyrightcheckedYes
dc.local.versionACCEPTED
nui.item.downloads862


Files in this item

Attribution-NonCommercial-NoDerivs 3.0 Ireland
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. Please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.

The following license files are associated with this item:

Thumbnail

This item appears in the following Collection(s)

Show simple item record