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On the character table of the association scheme \(Sp(4,q)/Sz(q)\). (English) Zbl 0762.20002

The authors propose a character table of \(Sp(4,q)/Sz(q)\), \(q=2^{2m+1}\), \(m>1\).

MSC:

20C15 Ordinary representations and characters
05E30 Association schemes, strongly regular graphs
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References:

[1] Bannai, E., Ito, T.: Algebraic Combinatorics I. Menlo Park, California: Benjamin/Cummings 1984. · Zbl 0555.05019
[2] Bannai, E., Kawanaka, N., Song, S.Y.: The character table of the Hecke algebraH(GL 2n (F q ),Sp 2n (F q )). J. of Algebra (to appear) · Zbl 0761.20013
[3] Bannai, E., Song, S.Y.: The character tables of Paige’s simple Moufang loops and their relationship to the character tables ofPSL(2, q). Proc. London Math. Soc.58, 209–236 (1989) · Zbl 0682.20050 · doi:10.1112/plms/s3-58.2.209
[4] Bagchi, B., Sastry, N.S.N.: Intersection pattern of the classical ovoids in symplectic 3-space of even order (preprint), to appear · Zbl 0685.51006
[5] Suzuki, M.: On a class of doubly transitive groups. Ann. of Math.75, 105–145 (1962) · Zbl 0106.24702 · doi:10.2307/1970423
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