Results 31 to 40 of about 305,985 (193)
Lattice structure of Grassmann-Tamari orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Tamari order is a central object in algebraic combinatorics and many other areas. Defined as the transitive closure of an associativity law, the Tamari order possesses a surprisingly rich structure: it is a congruence-uniform lattice.
Thomas McConville
doaj +1 more source
Enumerative and Algebraic Combinatorics in the 1960's and 1970's [PDF]
arXiv, 2021 A partly autobiographical survey of the development of enumerative and algebraic combinatorics in the 1960's and 1970's.
arxiv
Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras [PDF]
Journal of Algebraic Combinatorics, Volume 43, Issue 3 (2016), pp
693-714, 2016 In this paper generalized Matsumoto-Tits sections lifting permutations to the algebra associated to a generalized virtual braid monoid are defined. They are then applied to study the defining relations of the quantum quasi-shuffle algebras via the total symmetrization operator.
arxiv +1 more source
Recent developments in algebraic combinatorics
, 2004 A survey of three recent developments in algebraic combinatorics: (1) the Laurent phenomenon, (2) Gromov-Witten invariants and toric Schur functions, and (3) toric h-vectors and intersection cohomology. This paper is a continuation of "Recent progress in
Stanley, Richard P.
core +2 more sources
Lecture notes on algebraic methods in combinatorics [PDF]
arXiv, 2023 These are lecture notes of a course taken in Leipzig 2023, spring semester. It deals with extremal combinatorics, algebraic methods and combinatorial geometry. These are not meant to be exhaustive, and do not contain many proofs that were presented in the course.
arxiv
Geometric Representations of Interacting Maps
International Journal of Mathematics and Mathematical Sciences, 2010 Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints.
Tsuyoshi Kato
doaj +1 more source
A noncommutative enumeration problem [PDF]
, 2010 In this article we tackle the combinatorics of coloured hard-dimer objects. This is achieved by identifying coloured hard-dimer configurations with a certain class of rooted trees that allow for an algebraic treatment in terms of noncommutative formal ...
Bernabei, Maria Simonetta, Thaler, Horst
core +3 more sources
Triangular arrangements on the projective plane [PDF]
Épijournal de Géométrie Algébrique, 2023 In this work we study line arrangements consisting in lines passing through three non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a triangular arrangement is always realized by a Roots-of-Unity-Arrangement ...
Simone Marchesi, Jean Vallès
doaj
Noetherianity up to symmetry [PDF]
, 2013 These lecture notes for the 2013 CIME/CIRM summer school Combinatorial Algebraic Geometry deal with manifestly infinite-dimensional algebraic varieties with large symmetry groups.
Draisma, Jan
core +4 more sources
Tropical Hurwitz Numbers [PDF]
, 2009 Hurwitz numbers count genus g, degree d covers of the projective line with fixed branch locus. This equals the degree of a natural branch map defined on the Hurwitz space.
Cavalieri, Renzo +2 more
core +2 more sources