Results 131 to 140 of about 887,847 (298)
Five interpretations of Faà di Bruno's formula [PDF]
In these lectures we present five interpretations of the Fa' di Bruno formula which computes the n-th derivative of the composition of two functions of one variable: in terms of groups, Lie algebras and Hopf algebras, in combinatorics and within operads.
arxiv
HIGHER ALGEBRA IN COMBINATORICS
This article has easy and a very nice application on how to solve elementary combinatorics problems using linear ...
openaire +2 more sources
Δ–Springer varieties and Hall–Littlewood polynomials
The $\Delta $ -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo and the author that have connections to the Delta Conjecture from algebraic combinatorics.
Sean T. Griffin
doaj +1 more source
Random multilinear maps and the Erdős box problem
Random multilinear maps and the Erdős box problem, Discrete Analysis 2021:17, 8 pp. A major theme in extremal combinatorics is determining the maximum number of edges that a graph or hypergraph can have if it does not contain a certain fixed graph or ...
David Conlon+2 more
doaj +1 more source
Methods for the construction of generators of algebraic curvature tensors [PDF]
We demonstrate the use of several tools from Algebraic Combinatorics such as Young tableaux, symmetry operators, the Littlewood-Richardson rule and discrete Fourier transforms of symmetric groups in investigations of algebraic curvature tensors.
arxiv
On a Class of Indefinite Kac-Moody Algebras [PDF]
In this paper, we study a special class of indefinite Kac-Moody algebras. Based on the study of hyperbolic Kac-Moody algebras, we give the definition of $N_k$ type Kac-Moody algebras and study some properties of this special type Kac-Moody algebras.
arxiv
Blow-up algebras in Algebra, Geometry and Combinatorics
Programa de Doctorat en Matemàtica i ...
openaire +3 more sources
A combinatorial approach to root multiplicities of rank 2 hyperbolic Kac-Moody algebras [PDF]
In this paper we study root multiplicities of rank 2 hyperbolic Kac-Moody algebras using the combinatorics of Dyck paths.
arxiv
Semidefinite programming, harmonic analysis and coding theory
These lecture notes where presented as a course of the CIMPA summer school in Manila, July 20-30, 2009, Semidefinite programming in algebraic combinatorics.
Bachoc, Christine
core +6 more sources
Approximate algebraic structure [PDF]
We discuss a selection of recent developments in arithmetic combinatorics having to do with ``approximate algebraic structure'' together with some of their applications.Comment: 25 pages. Submitted to Proceedings of the ICM 2014.
Green, Ben
core