从广场一元体到低广场一元体

IF 0.7 3区数学 Q2 MATHEMATICS

Semigroup Forum Pub Date : 2024-06-17 DOI:10.1007/s00233-024-10436-8

Ricardo P. Guilherme

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引用次数: 0

摘要

可以从晶体的张量积中得到 plactic monoids。类似地，可以从准晶体的准张量积中得到下对称单体。在本文中，我们通过在准晶体的背景下表达这些构造，提出了一种统一的方法。我们提供了从张量积的准晶体单体得到准张量积的准晶体单体的充分条件。我们还建立了一个充分条件，使下褶单元成为与同一半正态准晶相关的褶单元的商。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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From plactic monoids to hypoplactic monoids

The plactic monoids can be obtained from the tensor product of crystals. Similarly, the hypoplactic monoids can be obtained from the quasi-tensor product of quasi-crystals. In this paper, we present a unified approach to these constructions by expressing them in the context of quasi-crystals. We provide a sufficient condition to obtain a quasi-crystal monoid for the quasi-tensor product from a quasi-crystal monoid for the tensor product. We also establish a sufficient condition for a hypoplactic monoid to be a quotient of the plactic monoid associated to the same seminormal quasi-crystal.

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来源期刊

Semigroup Forum 数学-数学

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

12 months

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