Results 121 to 130 of about 887,847 (298)
Combinatorics of Type D Exceptional Sequences [PDF]
arXiv, 2020 Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster algebras and the combinatorics of Coxeter groups. We combinatorially classify exceptional sequences of a family of type D Dynkin quivers, and we show how our model for ...
arxiv
A four‐dimensional peabody of constant width
Mathematika, Volume 71, Issue 2, April 2025.Abstract In this paper, we present a unique four‐dimensional body of constant width based on the classical notion of focal conics.
Isaac Arelio +2 more
wiley +1 more source
An octonion algebra originating in combinatorics [PDF]
Proceedings of the American Mathematical Society, 2010 C.H. Yang discovered a polynomial version of the classical Lagrange identity expressing the product of two sums of four squares as another sum of four squares. He used it to give short proofs of some important theorems on composition of δ \delta -codes (now known as T T -sequences).
Kaiming Zhao, Dragomir Ž. Đoković
openaire +2 more sources
Cubic surfaces and their invariants: Some memories of Raymond Stora
Nuclear Physics B, 2016 Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old and new methods in algebraic geometry. Recently, they made their appearance in physics, and in particular aroused the interest of Raymond Stora, to the ...
Michel Bauer
doaj +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Multiplication and combinatorics in the Steenrod algebra
Journal of Pure and Applied Algebra, 1996 AbstractThis paper is concerned with multiplication in the mod-2 Steenrod algebra, as expressed in terms of both the Milnor basis and the basis of admissible elements. Part I describes techniques for graphically representing Milnor basis elements and for interpreting combinatorially the matrices that arise in their multiplication table, and Part II ...
openaire +2 more sources
As-Sidanah, 2019 The objective of this research is to describe the improvement of the competence of Olympic workshop participants in problem-solving of mathematics Olympiad for mathematics teachers of Junior High Schools in the Madiun Regency by using the qualitative ...
Mohammad Tohir
doaj +1 more source
On a Gallai‐type problem and illumination of spiky balls and cap bodies
Mathematika, Volume 71, Issue 2, April 2025.Abstract We show that any finite family of pairwise intersecting balls in En${\mathbb {E}}^n$ can be pierced by (3/2+o(1))n$(\sqrt {3/2}+o(1))^n$ points improving the previously known estimate of (2+o(1))n$(2+o(1))^n$. As a corollary, this implies that any 2‐illuminable spiky ball in En${\mathbb {E}}^n$ can be illuminated by (3/2+o(1))n$(\sqrt {3/2}+o ...
Andrii Arman +3 more
wiley +1 more source
Valued Graphs and the Representation Theory of Lie Algebras
Axioms, 2012 Quivers (directed graphs), species (a generalization of quivers) and their representations play a key role in many areas of mathematics including combinatorics, geometry, and algebra.
Joel Lemay
doaj +1 more source
The Combinatorics of Iterated Loop Spaces
, 2003 It is well known since Stasheff's work that 1-fold loop spaces can be described in terms of the existence of higher homotopies for associativity (coherence conditions) or equivalently as algebras of contractible non-symmetric operads.
Batanin, M. A.
core +1 more source