Results 21 to 30 of about 56,560 (166)
Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]
Discrete 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
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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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Abstract involutions of algebraic groups and of Kac-Moody groups [PDF]
, 2010 Based on the second author's thesis in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD systems, and twisted involutions of Coxeter groups. Notably we simultaneously
Berger M. +9 more
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Orbits of strongly solvable spherical subgroups on the flag variety [PDF]
, 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
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Recent developments in algebraic combinatorics
, 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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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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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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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 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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Lattice structure of Grassmann-Tamari orders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The Tamari order is a central object in algebraic combinatorics and many other areas. Defined as the transitive closure of an associativity law, the Tamari order possesses a surprisingly rich structure: it is a congruence-uniform lattice.
Thomas McConville
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