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The word problem for Hecke–Kiselman monoids of type An and A~n
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Journal Article
The word problem for Hecke–Kiselman monoids of type An and A~n
2025
Overview
We exhibit explicit and easily realisable bijections between Hecke–Kiselman monoids of type An/A~n; certain braid diagrams on the plane/cylinder; and couples of integer sequences of particular types. This yields a fast solution of the word problem and an efficient normal form for these HK monoids. Yang–Baxter type actions play an important role in our constructions.
Publisher
Springer Nature B.V
Subject
