Central Schur rings over the projective special linear groups |
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| Authors: | Stephen P Humphries David R Wagner |
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| Institution: | 1. Department of Mathematics, Brigham Young University, Provo, Utah, USAsteve@mathematics.byu.edu;3. Department of Mathematics, Brigham Young University, Provo, Utah, USA |
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| Abstract: | In 1 Bannai, E. (1991). Subschemes of some association schemes. J. Algebra 14:167–188.Crossref], Web of Science ®] , Google Scholar]], Bannai presents a fusion condition and uses this to consider central Schur rings (S-rings) over the simple groups PSL(2,q) where q is a prime power. In this paper, we concretely describe all such S-rings in terms of symmetric S-rings over cyclic groups. The final section discusses counting these. |
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| Keywords: | Association schemes character table projective special linear groups Schur rings |
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