Homogeneous Integral Table Algebras of Degree Three : A Trilogy.
Blau, Harvey I.
Homogeneous Integral Table Algebras of Degree Three : A Trilogy. - 1st ed. - 1 online resource (109 pages) - Memoirs of the American Mathematical Society ; v.144 . - Memoirs of the American Mathematical Society .
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 > -- 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.
9781470402754
Commutative algebra.
Group rings.
Electronic books.
QA251.3 -- .B53 2000eb
510 s 512/.24
Homogeneous Integral Table Algebras of Degree Three : A Trilogy. - 1st ed. - 1 online resource (109 pages) - Memoirs of the American Mathematical Society ; v.144 . - Memoirs of the American Mathematical Society .
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 > -- 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.
9781470402754
Commutative algebra.
Group rings.
Electronic books.
QA251.3 -- .B53 2000eb
510 s 512/.24