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Homogeneous Integral Table Algebras of Degree Three : A Trilogy.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2000Copyright date: ©2000Edition: 1st edDescription: 1 online resource (109 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470402754
Subject(s): Genre/Form: Additional physical formats: Print version:: Homogeneous Integral Table Algebras of Degree ThreeDDC classification:
  • 510 s 512/.24
LOC classification:
  • QA251.3 -- .B53 2000eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Part I. Homogeneous Integral Table Algebras of Degree Three with a Faithful Real Element -- 1. Introduction -- 2. Known Facts and Some Consequences -- 3. Homogeneous ITA's of Arbitrary Degree -- 4. Some Results on Bases with a Standard Quotient -- 5. Extensions of T[Sub(n)](3), n &gt -- 1 -- 6. Extensions of V[Sub(3)] -- 7. Extensions of V[Sub(2)] and V[Sub(4)] -- 8. Extensions of T[Sub(0)](3) -- 9. Proof of the Main Theorem -- References -- Part II. On Antisymmetric Homogeneous Integral Table Algebras of Degree Three -- 1. Introduction -- 2. General Facts -- 3. The Universal Covering -- 4. Perfect Triples -- References -- Part III. Homogeneous Integral Table Algebras of Degree Three With No Nontrivial Linear Elements -- 1. Introduction -- 2. Tame and Wild Elements -- 3. The Array -- 4. The Cover -- 5. Proofs of Theorem A and Corollary C -- 6. Association Schemes -- References.
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Intro -- Contents -- Preface -- Part I. Homogeneous Integral Table Algebras of Degree Three with a Faithful Real Element -- 1. Introduction -- 2. Known Facts and Some Consequences -- 3. Homogeneous ITA's of Arbitrary Degree -- 4. Some Results on Bases with a Standard Quotient -- 5. Extensions of T[Sub(n)](3), n &gt -- 1 -- 6. Extensions of V[Sub(3)] -- 7. Extensions of V[Sub(2)] and V[Sub(4)] -- 8. Extensions of T[Sub(0)](3) -- 9. Proof of the Main Theorem -- References -- Part II. On Antisymmetric Homogeneous Integral Table Algebras of Degree Three -- 1. Introduction -- 2. General Facts -- 3. The Universal Covering -- 4. Perfect Triples -- References -- Part III. Homogeneous Integral Table Algebras of Degree Three With No Nontrivial Linear Elements -- 1. Introduction -- 2. Tame and Wild Elements -- 3. The Array -- 4. The Cover -- 5. Proofs of Theorem A and Corollary C -- 6. Association Schemes -- References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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