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    Combinatorics of Coxeter groups

    Björner, Anders
    Brenti, Francesco
    New York : Springer
    [2005]
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    Titre: Combinatorics of Coxeter groups / Anders Björner, Francesco Brenti
    Auteur: Björner, Anders
    Contributeur: Brenti, Francesco
    Editeur: New York : Springer
    Date: [2005]
    Collation: XII, 363 p. : ill. ; 25 cm
    Collection: Graduate Texts in Mathematics ; 231
    Documents dans cette collection: Graduate texts in mathematics
    Classification: ams 20
    ams 05
    IMATH A-4
    Identifiant: 3540442383 (ISBN)
    No RERO: R003905439
    Permalien:
    http://data.rero.ch/01-R003905439/html?view=FR_V1

    • Plusieurs versions

    A twisted duality for parabolic Kazhdan–Lusztig R-polynomials

    Brenti, Francesco
    Journal of Algebra, 01 May 2017, Vol.477, pp.472-482 [Revue évaluée par les pairs]

    • Plusieurs versions

    Parabolic Kazhdan–Lusztig R-polynomials for tight quotients of the symmetric groups

    Brenti, Francesco
    Journal of Algebra, 2011, Vol.347(1), pp.247-261 [Revue évaluée par les pairs]

    • Plusieurs versions

    Enumerative properties of shifted-Dyck partitions

    Brenti, Francesco
    Journal of Combinatorial Theory, Series A, 2010, Vol.117(3), pp.223-235 [Revue évaluée par les pairs]

    • Plusieurs versions

    Odd length for even hyperoctahedral groups and signed generating functions

    Brenti, Francesco, Carnevale, Angela
    Discrete Mathematics, December 2017, Vol.340(12), pp.2822-2833 [Revue évaluée par les pairs]

    • Plusieurs versions

    Peak algebras, paths in the Bruhat graph and Kazhdan–Lusztig polynomials

    Brenti, Francesco, Caselli, Fabrizio
    Advances in Mathematics, 02 January 2017, Vol.304, pp.539-582 [Revue évaluée par les pairs]

    • Plusieurs versions

    Fixed points and adjacent ascents for classical complex reflection groups

    Brenti, Francesco, Marietti, Mario
    Advances in Applied Mathematics, October 2018, Vol.101, pp.168-183 [Revue évaluée par les pairs]

    • Plusieurs versions

    Quasisymmetric functions and Kazhdan-Lusztig polynomials

    Billera, Louis, Brenti, Francesco
    Israel Journal of Mathematics, 2011, Vol.184(1), pp.317-348 [Revue évaluée par les pairs]

    • Article
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    Odd length for even hyperoctahedral groups and signed generating functions

    Brenti, Francesco, Carnevale, Angela
    arXiv.org, Jun 6, 2016
    © ProQuest LLC All rights reserved, Engineering Database, Publicly Available Content Database, ProQuest Engineering Collection, ProQuest Technology Collection, ProQuest SciTech Collection, Materials Science & Engineering Database, ProQuest Central (new), ProQuest Central Korea, SciTech Premium Collection, Technology Collection, ProQuest Central Essentials, ProQuest One Academic, Engineering Collection (ProQuest)
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    Titre: Odd length for even hyperoctahedral groups and signed generating functions
    Auteur: Brenti, Francesco; Carnevale, Angela
    Contributeur: Carnevale, Angela (pacrepositoryorg)
    Sujet: Quotients
    Description: We define a new statistic on the even hyperoctahedral groups which is a natural analogue of the odd length statistic recently defined and studied on Coxeter groups of types \(A\) and \(B\). We compute the signed (by length) generating function of this statistic over the whole group and over its maximal and some other quotients and show that it always factors nicely. We also present some conjectures.
    Fait partie de: arXiv.org, Jun 6, 2016
    Identifiant: 2331-8422 (E-ISSN)

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    Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials

    Brenti, Francesco, Caselli, Fabrizio
    arXiv.org, Jun 30, 2014
    © ProQuest LLC All rights reserved, Engineering Database, Publicly Available Content Database, ProQuest Engineering Collection, ProQuest Technology Collection, ProQuest SciTech Collection, Materials Science & Engineering Database, ProQuest Central (new), ProQuest Central Korea, SciTech Premium Collection, Technology Collection, ProQuest Central Essentials, ProQuest One Academic, Engineering Collection (ProQuest)
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    Titre: Peak algebras, paths in the Bruhat graph and Kazhdan-Lusztig polynomials
    Auteur: Brenti, Francesco; Caselli, Fabrizio
    Contributeur: Caselli, Fabrizio (pacrepositoryorg)
    Sujet: Mathematical Analysis ; Combinatorial Analysis ; Polynomials
    Description: We give a new characterization of the peak subalgebra of the algebra of quasisymmetric functions and use this to construct a new basis for this subalgebra. As an application of these results we obtain a combinatorial formula for the Kazhdan-Lusztig polynomials which holds in complete generality and is simpler and more explicit than any existing one. We then show that, in a certain sense, this formula cannot be simplified.
    Fait partie de: arXiv.org, Jun 30, 2014
    Identifiant: 2331-8422 (E-ISSN)