Results 31 to 40 of about 56,755 (205)

Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
doaj   +1 more source

Hopf Algebra of Sashes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these Hopf subalgebras are defined extrinsically in terms of the embedding in MR.
Shirley Law
doaj   +1 more source

Problems in Algebraic Combinatorics

open access: yesThe Electronic Journal of Combinatorics, 1995
This is a list of open problems, mainly in graph theory and all with an algebraic flavour. Except for 6.1, 7.1 and 12.2 they are either folklore, or are stolen from other people.
openaire   +3 more sources

Geometric Representations of Interacting Maps

open access: yesInternational 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

3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs

open access: yesMathematical and Computational Applications, 2017
The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block ...
Xiaolian Liao, Guohua Chen, Shangzhao Li
doaj   +1 more source

Orbits of strongly solvable spherical subgroups on the flag variety [PDF]

open access: yes, 2017
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we classify the H-orbits in G/B in terms of suitable combinatorial invariants.
Gandini, Jacopo, Pezzini, Guido
core   +2 more sources

Newton polytopes in algebraic combinatorics [PDF]

open access: yesSelecta Mathematica, 2019
30 ...
Monical, Cara   +2 more
openaire   +3 more sources

Algebraic combinatorics in bounded induction [PDF]

open access: yesAnnals of Pure and Applied Logic, 2021
In this paper, new methods for analyzing models of weak subsystems of Peano Arithmetic are proposed. The focus will be on the study of algebro-combinatoric properties of certain definable cuts. Their relationship with segments that satisfy more induction, with those limited by the standard powers/roots of an element, and also with definable sets in ...
openaire   +4 more sources

Extending the parking space [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
The action of the symmetric group $S_n$ on the set $\mathrm{Park}_n$ of parking functions of size $n$ has received a great deal of attention in algebraic combinatorics.
Andrew Berget, Brendon Rhoades
doaj   +1 more source

Hopf algebras and the combinatorics of connected graphs in quantum field theory

open access: yes, 2008
In this talk, we are concerned with the formulation and understanding of the combinatorics of time-ordered n-point functions in terms of the Hopf algebra of field operators.
Mestre, Angela, Oeckl, Robert
core   +1 more source

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