Homogeneous Integral Table Algebras of Degree Three A Trilogy is popular PDF and ePub book, written by Harvey I. Blau in 2000, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Homogeneous Integral Table Algebras of Degree Three A Trilogy can be Read Online from any device for your convenience.
Homogeneous Integral Table Algebras of Degree Three A Trilogy Book PDF Summary
Homogeneous integral table algebras of degree three with a faithful real element. The algebras of the title are classified to exact isomorphism; that is, the sets of structure constants which arise from the given basis are completely determined. Other results describe all possible extensions (pre-images), with a faithful element which is not necessarily real, of certain simple homogeneous integral table algebras of degree three. On antisymmetric homogeneous integral table algebras of degree three. This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied. It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism oforder three. Homogeneous integral table algebras of degree three with no nontrivial linear elements. The algebras of the title which also have a faithful element are determined to exact isomorphism. All of the simple homogeneous integral table algebras of degree three are displayed, and the commutative association schemes in which all the nondiagonal relations have valency three and where some relation defines a connected graph on the underlying set are classified up to algebraic isomorphism.
Detail Book of Homogeneous Integral Table Algebras of Degree Three A Trilogy PDF
- Author : Harvey I. Blau
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821820216
- Genre : Mathematics
- Total Page : 109 pages
- Language : English
- PDF File Size : 21,9 Mb
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