Higher-Order Associativity in Field Algebras
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/1/206 |
| _version_ | 1827597448344764416 |
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| author | Namhoon Kim |
| author_facet | Namhoon Kim |
| author_sort | Namhoon Kim |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T03:30:33Z |
| format | Article |
| id | doaj.art-72d157952a8546f98e4620e31feb6b6d |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T03:30:33Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-72d157952a8546f98e4620e31feb6b6d2023-12-03T14:55:40ZengMDPI AGMathematics2227-73902022-12-0111120610.3390/math11010206Higher-Order Associativity in Field AlgebrasNamhoon Kim0Department of Mathematics Education, Hongik University, 94 Wausan-ro, Mapo-gu, Seoul 04066, Republic of KoreaField 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.https://www.mdpi.com/2227-7390/11/1/206field algebrageneral associative lawbinary treeformal calculus |
| spellingShingle | Namhoon Kim Higher-Order Associativity in Field Algebras Mathematics field algebra general associative law binary tree formal calculus |
| title | Higher-Order Associativity in Field Algebras |
| title_full | Higher-Order Associativity in Field Algebras |
| title_fullStr | Higher-Order Associativity in Field Algebras |
| title_full_unstemmed | Higher-Order Associativity in Field Algebras |
| title_short | Higher-Order Associativity in Field Algebras |
| title_sort | higher order associativity in field algebras |
| topic | field algebra general associative law binary tree formal calculus |
| url | https://www.mdpi.com/2227-7390/11/1/206 |
| work_keys_str_mv | AT namhoonkim higherorderassociativityinfieldalgebras |