Results 1 to 10 of about 69 (69)

Applications of Algebraic Combinatorics to Algebraic Geometry [PDF]

open access: yesIndagationes Mathematicae, 2021
We formulate a number of new results in Algebraic Geometry and outline their derivation from Theorem 2.12 which belongs to Algebraic Combinatorics.
David Kazhdan, Tamar Ziegler
openaire   +3 more sources

The algebraic combinatorics of snakes [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2012
29 pages ...
Josuat-Vergès, Matthieu   +2 more
openaire   +3 more sources

On the Combinatorics of Gentle Algebras [PDF]

open access: yesCanadian Journal of Mathematics, 2019
AbstractFor $A$ a gentle algebra, and $X$ and $Y$ string modules, we construct a combinatorial basis for $\operatorname{Hom}(X,\unicode[STIX]{x1D70F}Y)$. We use this to describe support $\unicode[STIX]{x1D70F}$-tilting modules for $A$. We give a combinatorial realization of maps in both directions realizing the bijection between support $\unicode[STIX]{
Kaveh Mousavand   +4 more
openaire   +4 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 ...
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Newton polytopes in algebraic combinatorics [PDF]

open access: yesSelecta Mathematica, 2019
30 ...
Alexander Yong   +4 more
openaire   +3 more sources

Geometric and algebraic combinatorics

open access: yesEuropean Journal of Combinatorics, 2007
The present issue of the European Journal of Combinatorics contains papers on finite incidence geometries, combinatorial designs, and algebraic graph theory, captured by the name Geometric and Algebraic Combinatorics. This name, abbreviated to GAC, is also carried by a series of conferences held in Oisterwijk, The Netherlands.
Edwin van Dam, Willem H. Haemers
openaire   +2 more sources

Combinatorics of the Free Baxter Algebra [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2006
We study the free (associative, non-commutative) Baxter algebra on one generator. The first explicit description of this object is due to Ebrahimi-Fard and Guo. We provide an alternative description in terms of a certain class of trees, which form a linear basis for this algebra.
Walter Moreira, Marcelo Aguiar
openaire   +3 more sources

q-Partition algebra combinatorics

open access: yesJournal of Combinatorial Theory, Series A, 2010
Introduction rewritten and minor mistakes ...
Tom Halverson, Nathaniel Thiem
openaire   +3 more sources

A survey of semisimple algebras in algebraic combinatorics [PDF]

open access: yesIndian Journal of Pure and Applied Mathematics, 2021
This is a survey of semisimple algebras of current interest in algebraic combinatorics, with a focus on questions which we feel will be new and interesting to experts in group algebras, integral representation theory, and computational algebra. The algebras arise primarily in two families: coherent algebras and subconstituent (aka.
openaire   +4 more sources

Combinatorics of free vertex algebras [PDF]

open access: yesJournal of Algebra, 2002
This paper illustrates the combinatorial approach to vertex algebra - study of vertex algebras presented by generators and relations. A necessary ingredient of this method is the notion of free vertex algebra. Borcherds \cite{bor} was the first to note that free vertex algebras do not exist in general. The reason for this is that vertex algebras do not
openaire   +3 more sources

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