Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Frédéric Jouhet"'
Autor:
Frédéric Jouhet, Michael J. Schlosser
Publikováno v:
Axioms, Vol 1, Iss 3, Pp 365-371 (2012)
By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral q-series identity is derived. We also apply the same method to a quadratic summation by Gessel and Stanton,
Externí odkaz:
https://doaj.org/article/33c8eb151cfe44f6970a3bd31a9f940f
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
An element of a Coxeter group $W$ is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. These elements were extensively studied by Stembridge in the finite case. In t
Externí odkaz:
https://doaj.org/article/f5cc7f8595f545ccb009123f9794c239
Publikováno v:
Advances in Mathematics. 417:108946
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efc25f83bd3c63aaca2dddda89055c44
https://doi.org/10.1016/j.aim.2023.108946
https://doi.org/10.1016/j.aim.2023.108946
The distribution of Coxeter descents and block number over the set of fully commutative elements in the hyperoctahedral group B n , FC ( B n ) , is studied in this paper. We prove that the associated Chow quasi-symmetric generating function is equal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd963ae125dfddab3c540969b0e03698
http://hdl.handle.net/11585/849147
http://hdl.handle.net/11585/849147
Publikováno v:
Journal of Combinatorial Theory, Series A
Journal of Combinatorial Theory, Series A, Elsevier, 2019, 162, pp.271-305. ⟨10.1016/j.jcta.2018.11.002⟩
Journal of Combinatorial Theory, Series A, Elsevier, 2019, 162, pp.271-305. ⟨10.1016/j.jcta.2018.11.002⟩
We study $321$-avoiding affine permutations, and prove a formula for their enumeration with respect to the inversion number by using a combinatorial approach. This is done in two different ways, both related to Viennot's theory of heaps. First, we en
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c76825a0092a23ebe9d24aa97d4879e
https://doi.org/10.1016/j.jcta.2018.11.002
https://doi.org/10.1016/j.jcta.2018.11.002
Publikováno v:
Electronic Notes in Discrete Mathematics
GASCOM 2016
GASCOM 2016, Jun 2016, La Marana, France. p. 115-130, ⟨10.1016/j.endm.2017.05.009⟩
GASCOM 2016
GASCOM 2016, Jun 2016, La Marana, France. p. 115-130, ⟨10.1016/j.endm.2017.05.009⟩
We give exact formulas for the bivariate generating series of 321-avoiding affine permutations with respect to rank and Coxeter length. We use two different combinatorial approaches, both based on the theory of heaps of pieces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbd5ea1ceb49304f2abdcc1c490c3f6c
https://doi.org/10.1016/j.endm.2017.05.009
https://doi.org/10.1016/j.endm.2017.05.009
Publikováno v:
Journal of Algebra
Journal of Algebra, Elsevier, 2018, 513, pp.466-515. ⟨10.1016/j.jalgebra.2018.06.009⟩
Journal of Algebra, Elsevier, 2018, 513, pp.466-515. ⟨10.1016/j.jalgebra.2018.06.009⟩
An element w of a Coxeter group W is said to be fully commutative, if any reduced expression of w can be obtained from any other by transposing adjacent pairs of generators. These elements were described in 1996 by Stembridge in the case of finite ir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaf0ca18b89527dfbaa6ca92c8854fba
https://hal.archives-ouvertes.fr/hal-01423046
https://hal.archives-ouvertes.fr/hal-01423046
Publikováno v:
Discrete Mathematics
Discrete Mathematics, Elsevier, 2015, 338 (12), pp.2242-2259. ⟨10.1016/j.disc.2015.05.023⟩
Discrete Mathematics, Elsevier, 2015, 338 (12), pp.2242-2259. ⟨10.1016/j.disc.2015.05.023⟩
An element of a Coxeter group $W$ is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. In the present work, we focus on fully commutative involutions, which are char
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::902207e6a8194541f0d3c6369d5f8ef7
https://doi.org/10.1016/j.disc.2015.05.023
https://doi.org/10.1016/j.disc.2015.05.023
Autor:
Frédéric Jouhet, Christophe Delaunay
Publikováno v:
Advances in Mathematics. 258:13-45
The main aim of this article is to compute all the moments of the number of p l -torsion elements in some type of finite abelian groups. The averages involved in these moments are those defined for the Cohen–Lenstra heuristics for class groups and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7151b841e2baa1f44a14702454f29a54
https://doi.org/10.1016/j.aim.2014.02.033
https://doi.org/10.1016/j.aim.2014.02.033
Publikováno v:
Monatshefte für Mathematik
Monatshefte für Mathematik, Springer Verlag, 2015, 178 (1), pp.1-37. ⟨10.1007/s00605-014-0674-7⟩
Monatshefte für Mathematik, Springer Verlag, 2015, 178 (1), pp.1-37. ⟨10.1007/s00605-014-0674-7⟩
An element of a Coxeter group $W$ is fully commutative if any two of its reduced decompositions are related by a series of transpositions of adjacent commuting generators. These elements were extensively studied by Stembridge, in particular in the fi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd5a6e4c0b2779af11dd974d219ccd8a
https://hal.archives-ouvertes.fr/hal-00944929
https://hal.archives-ouvertes.fr/hal-00944929