Standard integral table algebras generated by a non-real element of small degree

Z Arad; Mikhail Muzychuk

doi:10.1007/b82936

Standard integral table algebras generated by a non-real element of small degree

Z Arad (Editor), Mikhail Muzychuk (Editor)

Research output: Book/Report › Book › peer-review

Abstract

Let R be an integral domain. An R-algebra A with a distinguished basis B is called a generalized table algebra (briefly, GT-algebra) with a distinguished basis B if it satisfies the following axioms:

GT0. A is a free left R-module with a basis B.

GT1. A is an R-algebra with unit 1, and 1 ∈ B.

GT2. There exists an antiautomorphism a → ā, a ∈ A, such that (a) = a holds for all a ∈ A and B = B.

Let λ λ_abc ∈ R be the structure constants of A in the basis B, i.e., {E1-1}

ā āa ((

Original language	English
Place of Publication	Berlin
Publisher	Springer
Number of pages	126
Edition	1
ISBN (Electronic)	9783540455585
ISBN (Print)	9783540428510
DOIs	https://doi.org/10.1007/b82936
State	Published - Jan 2002
Externally published	Yes

Publication series

Name	Lecture notes in mathematics (Springer-Verlag)
Publisher	Springer
Volume	1773

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10.1007/b82936

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AB - Let R be an integral domain. An R-algebra A with a distinguished basis B is called a generalized table algebra (briefly, GT-algebra) with a distinguished basis B if it satisfies the following axioms:GT0. A is a free left R-module with a basis B.GT1. A is an R-algebra with unit 1, and 1 ∈ B.GT2. There exists an antiautomorphism a → ā, a ∈ A, such that (a) = a holds for all a ∈ A and B = B.Let λ λabc ∈ R be the structure constants of A in the basis B, i.e., {E1-1} ā āa ((

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Standard integral table algebras generated by a non-real element of small degree

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