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Current research on algebraic combinatorics
Graphs and Combinatorics, 1986This paper is a good survey of recent progress on properties and classification of association schemes. It updates the discussion in the author's book Algebraic combinatorics I, Association schemes (1984; Zbl 0555.05019) of these problems. Moreover, a number of interesting new problems in this area are posed.
Eiichi Bannai, Tatsuro Itô
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5 Algebraic combinatorics on spheres and general remarks on algebraic combinatorics
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Algebras in plancherel duality and algebraic combinatorics
Functional Analysis and Its Applications, 1997The 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 ...
Evdokimov, S. A. +2 more
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Lectures in Algebraic Combinatorics
Lecture Notes in Mathematics, 2020Adriano M Garsia, Ömer Egecioglu
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Geometric, Algebraic, and Topological Combinatorics
Oberwolfach Reports, 2020The 2019 Oberwolfach meeting “Geometric, Algebraic and Topological 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.
Gil Kalai +3 more
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Algebraic Combinatorics on Words
2002Combinatorics 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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The Topology of Algebra: Combinatorics of Squaring
Functional Analysis and Its Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chronological Algebras: Combinatorics and Control
Journal of Mathematical Sciences, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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