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

Vladimir V. Kisil
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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.

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Vladimir V. Kisil. 2002-01-02. Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics. https://arxiv.org/abs/math/0201012

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