LEADER 03583nam 22006255 450 001 9910144597503321 005 20250723164034.0 010 $a3-540-45558-2 024 7 $a10.1007/b82936 035 $a(CKB)1000000000233226 035 $a(SSID)ssj0000326874 035 $a(PQKBManifestationID)11263385 035 $a(PQKBTitleCode)TC0000326874 035 $a(PQKBWorkID)10297758 035 $a(PQKB)10401136 035 $a(DE-He213)978-3-540-45558-5 035 $a(MiAaPQ)EBC3072584 035 $a(PPN)155166557 035 $a(BIP)13638596 035 $a(BIP)7616783 035 $a(EXLCZ)991000000000233226 100 $a20121227d2002 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStandard Integral Table Algebras Generated by a Non-real Element of Small Degree /$fedited by Zvi Arad, Mikhail Muzychuk 205 $a1st ed. 2002. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002. 215 $a1 online resource (XII, 132 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1773 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-42851-8 320 $aIncludes bibliographical references and index. 327 $aIntroduction (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. 330 $aThis book is addressed to the researchers working in the theory of table algebras and association schemes. This area of algebraic combinatorics has been rapidly developed during the last decade. The volume contains further developments in the theory of table algebras. It collects several papers which deal with a classification problem for standard integral table algebras (SITA). More precisely, we consider SITA with a faithful non-real element of small degree. It turns out that such SITA with some extra conditions may be classified. This leads to new infinite series of SITA which has interesting properties. The last section of the book uses a part of obtained results in the classification of association schemes. This volume summarizes the research which was done at Bar-Ilan University in the academic year 1998/99. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1773 606 $aGroup theory 606 $aGroup Theory and Generalizations 615 0$aGroup theory. 615 14$aGroup Theory and Generalizations. 676 $a512.5 686 $a13A99$2msc 686 $a20C05$2msc 686 $a16P10$2msc 702 $aArad$b Zvi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMuzychuk$b Mikhail$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144597503321 996 $aStandard integral table algebras generated by a non-real element of small degree$9377575 997 $aUNINA