Garside families and Garside germs

作者：Dehornoy Patrick^*; Digne Francois; Michel Jean

来源：Journal of Algebra, 2013, 380: 109-145.

DOI：10.1016/j.jalgebra.2013.01.026

• Garside family
• Garside monoid
• Garside group
• Germ
• Greedy normal form
• Coxeter group
• Braid monoid

Garside families have recently emerged as a relevant context for extending results involving Garside monoids and groups, which themselves extend the classical theory of (generalized) braid groups. Here we establish various characterizations of Garside families, that is, equivalently, various criteria for establishing the existence of normal decompositions of a certain type.

• 出版日期2013-4-15