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Record Nr. |
UNINA9910144597503321 |
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Titolo |
Standard Integral Table Algebras Generated by a Non-real Element of Small Degree / / edited by Zvi Arad, Mikhail Muzychuk |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
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ISBN |
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Edizione |
[1st ed. 2002.] |
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Descrizione fisica |
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1 online resource (XII, 132 p.) |
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Collana |
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Lecture Notes in Mathematics, , 1617-9692 ; ; 1773 |
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Classificazione |
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Disciplina |
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Soggetti |
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Group theory |
Group Theory and Generalizations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction (Z. Arad, M. Muzychuk): Main Definitions; Basic Examples; Basic Properties, Basic Constructions -- ITA with a Faithful Nonreal Element of Degree 4 (Z. Arad, M. Muzychuk, H. Arisha, E. Fishman): Known Examples; Proof of the Main Results -- SITA with a Faithful Nonreal Element of Degree 5 (Z. Arad, F. Bünger, E. Fishman, M. Muzuychuk): Introduction; General Facts and Known Results; Degree 5; Case 3; Case 5 -- SITA with a Faithful Real Element of Degree 5 and Width 3 (F. Bünger): Introduction; Case 1; Case 2 -- The Enumeration of Primitive Commutative Association Schemes (M. Hirasaka): Introduction; The Case of Valency 1 or 2; The Case of Valency 3; The Case of Valency 4 -- References -- Index. |
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Sommario/riassunto |
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This book is addressed to the researchers working in the theory of table algebras and association schemes. This area of algebraic combinatorics has been rapidly developed during the last decade. The volume contains further developments in the theory of table algebras. It collects several papers which deal with a classification problem for standard integral table algebras (SITA). More precisely, we consider SITA with a faithful non-real element of small degree. It turns out that such SITA with some extra conditions may be classified. This leads to new infinite series of SITA which has interesting properties. The last |
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