Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics

Details Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics

2002-01-02

arxiv.org/abs/math/0201012v1

Func. An.: Proc. of the Ukr. Math. Congress-2001, Kiev, 2002. p. 146-155

Mathematics

Functional Analysis

LaTeX, 10 pages, 3 PS figures

Scientific paper

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.

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