Results 131 to 140 of about 887,847 (298)

Five interpretations of Faà di Bruno's formula [PDF]

open access: yesarXiv, 2014
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

open access: yes, 2023
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

open access: yesForum of Mathematics, Sigma
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

open access: yesDiscrete Analysis, 2021
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]

open access: yesarXiv, 2005
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]

open access: yesarXiv, 2020
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  

A combinatorial approach to root multiplicities of rank 2 hyperbolic Kac-Moody algebras [PDF]

open access: yesarXiv, 2015
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

open access: yes, 2009
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]

open access: yes, 2014
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  

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