Results 111 to 120 of about 245,402 (215)

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

Positivity Problems and Conjectures in Algebraic Combinatorics

, 1999
Algebraic combinatorics is concerned with the interaction between combinatorics and such other branches of mathematics as commutative algebra, algebraic geometry, algebraic topology, and representation theory. Many of the major open problems of algebraic
Richard P. Stanley
core  

Algebraic combinatorics and coinvariant spaces

, 2009
Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of ...
Bergeron, Francois, Francois Bergeron
core   +1 more source

Some representations for inverse rising factorial moments

Mathematical and Computer Modelling of Dynamical Systems
Inverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics.
Xiaoxue Li, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
doaj   +1 more source

Topology of matching complexes of complete graphs via discrete Morse theory [PDF]

Discrete Mathematics & Theoretical Computer Science
Bouc (1992) first studied the topological properties of $M_n$, the matching complex of the complete graph of order $n$, in connection with Brown complexes and Quillen complexes. Bj\"{o}rner et al. (1994) showed that $M_n$ is homotopically $(\nu_n-1)$
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha   +2 more
doaj   +1 more source

Polynomials in algebraic combinatorics [PDF]

, 2018
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functions, quasisymmetric functions, and polynomials. Classically, these bases are homogeneous functions, however, the introduction of K-theoretic combinatorics
Monical, Cara
core  

Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]

, 2013
We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri, Avni, Nir, Klopsch, Benjamin, Voll, Christopher   +3 more
core   +1 more source

Feynman Diagrams in Algebraic Combinatorics

, 2002
13 ...
openaire   +3 more sources

Splines on Cayley graphs of the symmetric group

Forum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source

Some results at the interface of combinatorics and number theory [PDF]

We present some results in the union and sometimes in the intersection of combinatorics and number ...
Chase, Zachary
core   +1 more source