Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics
Functional Analysis
2007-05-23 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We give a brief account of a construction called tokens here, which is significant in algebra, analysis, combinatorics, and physics. Tokens allow to express a semigroup on one set via a semigroup convolution on another set. Therefore tokens are similar to intertwining operators but are more flexible. Keywords: semigroups, hypergroups, tokens, poset, multiplicative functions, polynomial sequence of binomial type, integral kernel, wavelets, refinement equation, special functions, quantum propagator, path integral, quantum computing.
Cite
@article{arxiv.math/0201012,
title = {Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics},
author = {Vladimir V. Kisil},
journal= {arXiv preprint arXiv:math/0201012},
year = {2007}
}
Comments
LaTeX, 10 pages, 3 PS figures