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Machine Checked Proofs and Programs in Algebraic Combinatorics
Florent Hivert
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Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Lett Math PhysDi Francesco P +4 more
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Algebraic Combinatorics on Words: Index of Notation
, 20021. Finite and infinite words J. Berstel and D. Perrin 2. Sturmian words J. Berstel and P. Seebold 3. Unavoidable patterns J. Cassaigne 4. Sesquipowers A. De Luca and S. Varricchio 5. The plactic monoid A. Lascoux, B. Leclerc and J.-Y. Thibon 6.
M. Lothaire
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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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Dynamical Algebraic Combinatorics, Asynchronous Cellular Automata, and Toggling Independent Sets
International Workshop on Cellular Automata and Discrete Complex Systems, 2021Though iterated maps and dynamical systems are not new to combinatorics, they have enjoyed a renewed prominence over the past decade through the elevation of the subfield that has become known as dynamical algebraic combinatorics.
L. David +4 more
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SIGA, 2022
In One Line and Close. Permutations as Linear Orders. Descents Alternating Runs Alternating Subsequences In One Line and Anywhere. Permutations as Linear Orders. Inversions. Inversions Inversion in Permutations of Multisets In Many Circles.
M. Bóna
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In One Line and Close. Permutations as Linear Orders. Descents Alternating Runs Alternating Subsequences In One Line and Anywhere. Permutations as Linear Orders. Inversions. Inversions Inversion in Permutations of Multisets In Many Circles.
M. Bóna
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Equivariant Cohomology in Algebraic Geometry
, 2023Equivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics.
David Anderson, William Fulton
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PARASTATISTICS ALGEBRAS AND COMBINATORICS
Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model, 2005We consider the algebras spanned by the creation parafermionic and parabosonic operators which give rise to generalized parastatistics Fock spaces. The basis of such a generalized Fock space can be labelled by Young tableaux which are combinatorial objects.
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Combinatorics and fermion algebra
Il Nuovo Cimento B, 1973It is shown that the various types of normal terms arising from the normal ordering of a disordered product of fermion operators can be enumerated with the aid of a well-known combinatorial problem, called the problem of the rooks.
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On the Combinatorics of Free Algebras
1990In this survey paper I discuss recent results concerning free algebraic systems and I mention some old results which motivated them. There is no attempt to be comprehensive. The selection of topics is eclectic and personal but with a special emphasis on results of a combinatorial nature.
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