Results 11 to 20 of about 55,778 (257)
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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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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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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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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Feynman Diagrams in Algebraic Combinatorics
, 2002 We show, in great detail, how the perturbative tools of quantum field theory allow one to rigorously obtain: a ``categorified'' Faa di Bruno type formula for multiple composition, an explicit formula for reversion and a proof of Lagrange-Good inversion ...
Abdesselam, Abdelmalek
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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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Homogeneous algebras, statistics and combinatorics
Letters in Mathematical Physics, 2002 After some generalities on homogeneous algebras, we give a formula connecting the Poincar series of a homogeneous algebra with the homology of the corresponding Koszul complex generalizing thereby a standard result for quadratic algebras. We then investigate two particular types of cubic algebras: The first one called the parafermionic (parabosonic ...
Michel Dubois‐Violette, Todor Popov
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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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The algebraic combinatorics of snakes
Journal of Combinatorial Theory, Series A, 2012 29 pages ...
Matthieu Josuat-Vergès +2 more
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Physics, Combinatorics and Hopf Algebras
, 2004 A number of problems in theoretical physics share a common nucleus of combinatoric nature. It is argued here that Hopf algebraic concepts and techiques can be particularly efficient in dealing with such problems. As a first example, a brief review is given of the recent work of Connes, Kreimer and collaborators on the algebraic structure of the process
Chryssomalis Chryssomalakos
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