Gröbner-Shirshov Bases for Kac-Moody Algebras A n (1) and B n (1)

Evgeniy Poroshenko ()
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Evgeniy Poroshenko: Novosibirsk State University

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 552-563 from Springer

Abstract: Abstract In this work we describe an algorithm for search of Gröbner — Shirshov bases for so called affine untwisted Kac — Moody algebras, that is algebras X n (1) , where X = A, B,..., G, which differs from Buchberger — Shirshov one and more convenient for practical using. After that, we construct Gröbner — Shirshov bases for Kac — Moody algebras of the types A n (1) and B n (1) .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_53

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DOI: 10.1007/978-3-662-04166-6_53

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