Maximal strings in the crystal graph of spin representations of the symmetric and alternating groups
Joint Authors
Source
Jami'a : Journal in Educational and Social Sciences
Issue
Vol. 2008, Issue 12 (31 Dec. 2008), pp.1-22, 22 p.
Publisher
أكاديمية القاسمي مركز الأبحاث التربوية و الاجتماعية
Publication Date
2008-12-31
Country of Publication
Palestine (West Bank)
No. of Pages
22
Main Subjects
Topics
Abstract EN
We define block-reduced version of the crystal graph of spin representations of the symmetric and alternating groups, and separate it into layers, each obtained by translating the previous layer and, possibly, adding new defect zero blocks.
We demonstrate that each layer has weight-preserving central symmetry, and study the sequence of weights occurring in the maximal strings.
The Broué conjecture, that a block with abelian defect group is derived equivalent to its Brauer correspondent, has been proven for blocks of cyclic defect group and verified for many other blocks.
This paper is part of a study of the spin block case.
American Psychological Association (APA)
Arisha, Husam& Schaps, Mari. 2008. Maximal strings in the crystal graph of spin representations of the symmetric and alternating groups. Jami'a : Journal in Educational and Social Sciences،Vol. 2008, no. 12, pp.1-22.
https://search.emarefa.net/detail/BIM-612370
Modern Language Association (MLA)
Arisha, Husam& Schaps, Mari. Maximal strings in the crystal graph of spin representations of the symmetric and alternating groups. Jami'a : Journal in Educational and Social Sciences No. 12 (Dec. 2008), pp.1-22.
https://search.emarefa.net/detail/BIM-612370
American Medical Association (AMA)
Arisha, Husam& Schaps, Mari. Maximal strings in the crystal graph of spin representations of the symmetric and alternating groups. Jami'a : Journal in Educational and Social Sciences. 2008. Vol. 2008, no. 12, pp.1-22.
https://search.emarefa.net/detail/BIM-612370
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 21-22
Record ID
BIM-612370