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

泛函分析 2007-05-23 v1 数学物理 组合数学 math.MP

摘要

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.

关键词

引用

@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}
}

备注

LaTeX, 10 pages, 3 PS figures