Standard integral table algebras generated by a non-real element of small degree
Standard integral table algebras generated by a non-real element of small degree
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DOI：
10.1007/b82936
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Z. Arad;M. Muzychuk
中科院分区：
文献类型：
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作者：
Z. Arad;M. Muzychuk
有限性质类别的乘积共轭群 4r6radoldbrancf，这有限的研究是在 1980 年代。群论。主题集中的书《Z. Arad 编辑的类的产品和 [22] 共轭群》，作者为 M. a，赫尔佐格获得了该结果，给出了该时期的全面情况。一些作者意识到这项研究可以扩展到不可约特征。我们建议读者阅读产品论文 [1, 2, 11, 13-16, 21, 23, 35, 40, 51, 52,651。在其中的几篇文章中，作者发现了类和不可约特征之间的类比论文，这导致了 HL Blau 和 Z. Arad 在概念代数中引入的表的共轭积，通过[7]，以统一的顺序到分解积的方式研究有限自类群的共轭和不可约特征。然后，Z.-of 表中的理论是 H. 代数广泛发展的论文 Arad、FDMREHJ isha、Blau、B-dnger、Cillag、Darafsheh、Erez、Fisman、VMAC 和 B. Xu Miloslavsky、Muzychuk、Rahnamai、Scopolla [3-5、7-10、12、17-20、25、29-33、35、 41]。表被认为是一类定义的、c特殊代数，可以由Y. Kawada和G. Hoheisel介绍的C-代数表[49][48].：更准确地说，其中 是一个结构常数，每个代数都是非负的C-代数。有限两个自然表产生代数表：代数共轭群类和字符表。
of of classes of finite Properties products conjugacy groups 4r6radoldbrancf, This of finite was studied in the 1980's. The group theory. topic intensively book" Products of Classes in edited Z. Arad and [22] Conjugacy Groups," by M. a of the results obtained this Herzog, gives comprehensive picture during period. It realized several authors that this research could be extended to was by of irreducible characters. Werefer the reader to the products papers [1, 2, 11, 13-16, 21, 23, 35, 40, 51, 52,651. In several of these the authors found an between analogy pr-papers of classes and of irreducible characters which led to ucts conjugacy products of table introduced HL Blau and Z. Arad in in the notion algebra, by [7], in uniform the of of order to a decomposition products study way conjugacy and irreducible characters of finite Since the classes groups. then, theory in of Z.-of table was H. algebras extensively developed papers Arad, FDMREHJ isha, Blau, B-dnger, Chillag, Darafsheh, Erez, Fisman, VMAC and B. Xu Miloslavsky, Muzychuk, Rahnamai, Scopolla [3-5, 7-10, 12, 17-20, 25, 29-33, 35, 41]. Table as be onsidered a class of defined, c special algbras, may C-algbras Y. Kawada and G. Hoheisel table introduced a by [49][48].: More precisely, where the is a structure constants are Each algebra C-algebra nonnegative. finite two natural table the table of yields algebras: algebra conjugacy group classes and the table of characters.