Results 71 to 80 of about 56,264 (249)

Growth problems in diagram categories

Bulletin of the London Mathematical Society, EarlyView.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

Thom series of contact singularities [PDF]

, 2010
Thom polynomials measure how global topology forces singularities. The power of Thom polynomials predestine them to be a useful tool not only in differential topology, but also in algebraic geometry (enumerative geometry, moduli spaces) and algebraic ...
Fehér, L. M., Rimányi, R.
core  

Centrality of star and monotone factorisations

Bulletin of the London Mathematical Society, EarlyView.
Abstract A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answers a natural question of Goulden and Jackson from 2009.
Jesse Campion Loth, Amarpreet Rattan
wiley   +1 more source

Approximation of Algebraic Curves in Function Spaces of Topological Sequences Connected to Specific Simple Graph Families

Journal of Function Spaces
Algebraic curves and topological sequences play a crucial role in mathematics and graph theory, serving as a bridge between geometry, algebra, and number theory.
Mohammad Mazyad Hazzazi, Muhammad Imran, Muhammad Nadeem, Muhammad Kamran, Samuel Asefa Fufa   +4 more
doaj   +1 more source

On the combinatorics of commutators of Lie algebras [PDF]

Journal of Algebra and Its Applications, 2019
Motivated by the combinatorial properties of products in Lie algebras, we investigate the subset of permutations that naturally appears when we write the long commutator [Formula: see text] as a sum of associative monomials. We characterize this subset and find some useful equivalences.
Eduardo Eizo Aramaki Hitomi, Felipe Yukihide Yasumura   +1 more
openaire   +3 more sources

On stabilizers in finite permutation groups

Bulletin of the London Mathematical Society, EarlyView.
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley   +1 more source

Graphs Connected to Isotopes of Inverse Property Quasigroups: A Few Applications

Journal of Applied Mathematics
Many real-world applications can be modelled as graphs or networks, including social networks and biological networks. The theory of algebraic combinatorics provides tools to analyze the functioning of these networks, and it also contributes to the ...
Muhammad Nadeem, Sharafat Ali, Md. Ashraful Alam   +2 more
doaj   +1 more source

Pairwise Well-Formed Modes and Transformations

, 2017
One of the most significant attitudinal shifts in the history of music occurred in the Renaissance, when an emerging triadic consciousness moved musicians towards a new scalar formation that placed major thirds on a par with perfect fifths. In this paper
D Clampitt, J Nielsen, M Lothaire, N Carey, N Carey, T Noll, V Berthé, W Magnus   +7 more
core   +1 more source

Curves of best approximation on wonderful varieties

Bulletin of the London Mathematical Society, EarlyView.
Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon, David McKinnon, Matthew Satriano   +2 more
wiley   +1 more source

Asymmetric function theory

, 2019
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher, Anders Skovsted Buch, Andrew Baker, B Yasmine, Bogdan Ion, C Lenart, Daniel Bump, David Anderson, E Dudley, Eric Opdam, Hugh Thomas, J Haglund, J Haglund, Masaki Kashiwara, Masaki Kashiwara, Masaki Kashiwara, Masaki Watanabe, Masaki Watanabe, Michiel Hazewinkel, N Ganter, Nantel Bergeron, Oliver Pechenik, Paul Bressler, Pavel Galashin, PN Norton, Rudolf Winkel, S Assaf, S Assaf, S Mason, Sara C Billey, Sergey Fomin, Thomas Hudson, V Reiner, Vasu V Tewari, W George, William Fulton, Witold Kraśkiewicz   +36 more
core   +1 more source