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Higher-Order Associativity in Field Algebrasopen access

Authors
Kim, Namhoon
Issue Date
1-Jan-2023
Publisher
MDPI
Keywords
field algebra; general associative law; binary tree; formal calculus
Citation
MATHEMATICS, v.11, no.1
Journal Title
MATHEMATICS
Volume
11
Number
1
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/30780
DOI
10.3390/math11010206
ISSN
2227-7390
Abstract
Field algebras were defined by Bakalov and Kac as an associative analogue of vertex algebras. We define the notion of higher-order associativity for field algebras and construct examples to show that higher-order associativity imposes a strictly stronger condition on field algebras than lower-order associativity.
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