Higher-Order Associativity in Field Algebras

Namhoon Kim ()
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Namhoon Kim: Department of Mathematics Education, Hongik University, 94 Wausan-ro, Mapo-gu, Seoul 04066, Republic of Korea

Mathematics, 2022, vol. 11, issue 1, 1-25

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.

Keywords: field algebra; general associative law; binary tree; formal calculus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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