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Lefschetz Properties in Algebra, Geometry and Combinatorics: Notes for the preparatory school

Juan Migliore, Giuseppe Favacchio
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A cluster of results on amplituhedron tiles. [PDF]

Lett Math Phys
Even-Zohar C, Lakrec T, Parisi M, Sherman-Bennett M, Tessler R, Williams L.   +5 more
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Algebras in plancherel duality and algebraic combinatorics [PDF]

Functional Analysis and Its Applications, 1997
The authors consider finite-dimensional *-algebras over \(\mathbb{C}\). Such an algebra is called a \(C\)-algebra, if it has a vector space basis \(R\) satisfying several given conditions (expressed in terms of so-called structure constants). The main result states that the category of positive \(C\)-algebras is equivalent to a (suitably defined ...
Anatoly Vershik, S. A. Evdokimov, I. N. Ponomarenko   +2 more
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Geometric and Algebraic Combinatorics

Oberwolfach Reports, 2015
The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a wide variety of aspects of Discrete Geometry, Algebraic Combinatorics with geometric flavor, and Topological Combinatorics. Some of the highlights
Isabella Novik, Francisco Santos, Gil Kalai, Volkmar Welker   +3 more
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Chronological Algebras: Combinatorics and Control

Journal of Mathematical Sciences, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebraic Combinatorics on Words

2002
Combinatorics on words has arisen independently within several branches of mathematics, for instance number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's book Combinatorics on Words. Originally published in 2002, this book
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Combinatorics and fermion algebra

Il Nuovo Cimento B, 1973
It 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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PARASTATISTICS ALGEBRAS AND COMBINATORICS

Mathematical, Theoretical and Phenomenological Challenges Beyond the Standard Model, 2005
We 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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Order and disorder in algebraic combinatorics

The Mathematical Intelligencer, 1992
In the paper under review the author develops some ideas about intercommunications and distinctions between combinatorics and algebra, considering as examples two problems from combinatorics and algebra respectively. His considerations are summarized in the following three main principles: 1.
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