Results 51 to 60 of about 245,402 (215)

Hopf Algebra of Sashes [PDF]

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
doaj   +1 more source

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.
openaire   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

Generalized hook lengths in symbols and partitions [PDF]

, 2011
Peer ...
Jean-Baptiste Gramain, Gramain, Jean-Baptiste, Olsson, Jørn Børling, Jørn B. Olsson, Olsson, Jørn B., Bessenrodt, Christine, Christine Bessenrodt   +6 more
core   +1 more source

Double Catalan monoids [PDF]

, 2012
In this paper, we define and study what we call the double Catalan monoid. This monoid is the image of a natural map from the 0-Hecke monoid to the monoid of binary relations.
Mazorchuk, Volodymyr,, Steinberg, Benjamin   +1 more
core   +1 more source

On the automorphisms of the power semigroups of a numerical semigroup

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley   +1 more source

AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

, 2011
Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, · · · and theoretical physics, theoretical chemistry, etc..
MAO, LINFAN
core   +1 more source

An inverse Grassmannian Littlewood–Richardson rule and extensions

Forum of Mathematics, Sigma
Chow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
doaj   +1 more source

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
doaj   +1 more source