Results 1 to 10 of about 643,967 (275)
The algebraic combinatorics of snakes [PDF]
Journal of Combinatorial Theory, Series A, 2012 Snakes are analogues of alternating permutations defined for any Coxeter group. We study these objects from the point of view of combinatorial Hopf algebras, such as noncommutative symmetric functions and their generalizations.
Matthieu Josuat-Vergès +2 more
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Newton Polytopes in Algebraic Combinatorics [PDF]
Selecta Mathematica, 2017 A polynomial has saturated Newton polytope (SNP) if every lattice point of the convex hull of its exponent vectors corresponds to a monomial. We compile instances of SNP in algebraic combinatorics (some with proofs, others conjecturally): skew Schur ...
Cara Monical +2 more
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Applications of Algebraic Combinatorics to Algebraic Geometry [PDF]
Indagationes Mathematicae, 2020 We formulate a number of new results in Algebraic Geometry and outline their derivation from Theorem 2.12 which belongs to Algebraic Combinatorics.
D. Kazhdan, T. Ziegler
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Recent Progress in Algebraic Combinatorics [PDF]
Bulletin of the American Mathematical Society, 2000 We survey three recent breakthroughs in algebraic combinatorics. The first is the proof by Knutson and Tao, and later Derksen and Weyman, of the saturation conjecture for Littlewood-Richardson coefficients. The second is the proof of then!n!and(n+1)n−1(n+1)^{n-1}conjectures by Haiman.
Richard P. Stanley
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Combinatorics of free vertex algebras [PDF]
Journal 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
Michael Roitman
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A survey of semisimple algebras in algebraic combinatorics [PDF]
Indian 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.
A. Herman
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Combinatorics of the Free Baxter Algebra [PDF]
The 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.
Marcelo Aguiar, Wálter Moreira
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Coding Theory and Algebraic Combinatorics [PDF]
, 2008 This chapter introduces and elaborates on the fruitful interplay of coding theory and algebraic combinatorics, with most of the focus on the interaction of codes with combinatorial designs, finite geometries, simple groups, sphere packings, kissing ...
Huber, Michael
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Recent developments in algebraic combinatorics [PDF]
Israel Journal of Mathematics, 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.
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Problems in Algebraic Combinatorics
The 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.
Chris Godsil
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