Results 41 to 50 of about 55,778 (257)
3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs
Mathematical 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
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Discrete 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
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On Expansion of a Solution of General Non-autonomous Polynomial Differential Equation [PDF]
, 2014 We give a recursive formula for an expansion of a solution of a general non-autonomous polynomial differential equation. The formula is given on the algebraic level with a use of shuffle product. This approach minimizes the number of integrations on each
Pietrzkowski, Gabriel
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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.
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Extending the parking space [PDF]
Discrete 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
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On f- and h- vectors of relative simplicial complexes [PDF]
, 2018 A relative simplicial complex is a collection of sets of the form $\Delta \setminus \Gamma$, where $\Gamma \subset \Delta$ are simplicial complexes.
Codenotti, Giulia +2 more
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Combinatorics and the Schur algebra
Journal of Pure and Applied Algebra, 1993 The author studies the structure of the Schur algebra \(S_ R(n,r)\) over a commutative ring \(R\). A basis of codeterminants for this algebra is given which is analogous to the one constructed by \textit{G.-C. Rota} [Théorie combinatoire des invariants classiques, Sér. Math. Pures Appl.
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COMBINATORICS AND N-KOSZUL ALGEBRAS [PDF]
International Journal of Geometric Methods in Modern Physics, 2008 The numerical Hilbert series combinatorics for quadratic Koszul algebras was extended to N-Koszul algebras by Dubois-Violette and Popov [9]. In this paper, we give a striking application of this extension when the relations of the algebra are all the antisymmetric tensors of degree N over given variables.
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Attractiveness of the Haar measure for linear cellular automata on Markov subgroups [PDF]
, 2006 For the action of an algebraic cellular automaton on a Markov subgroup, we show that the Ces\`{a}ro mean of the iterates of a Markov measure converges to the Haar measure.
Maass, Alejandro +3 more
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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
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