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PRIMITIVE IDEMPOTENTS OF THE GROUP ALGEBRA CSL(2,q)

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1996-1997
Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
in this paper a full system of primitive idempotents of the group algebra CSL(2,q) has been found using normed Gaussian sums over the finite field Fq= GF(q) and a result of G.J. Janusz.
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_55-56_pp_99-109.pdf
99-109
  • English

REFERENCES

References: 

[1]
DORNHOFF
, L. : Group Representation Theory, Dekker, New York,
1971.
[2] GÜZEL, E. :
Primitive Idempotents of the Group Algebra CSL(3,q),
Math. Scand., 70 (1992), 177-185. [3] JANUSZ, C.J. : Primitive Idempotents in Group Algebra, Proc. Amer.
Math. Soc,
1
7 (1996), 520-523.
[4]
SIMPSON
, W.A.
and FRAME, J.S. : The character tables for SL(3,q), SU(3,q2), PSL (3,q), PSU(3,q2), Can. J. Math., 25 (1973), 486-494. [5] STEINBERG, R.: The Representations of GL(3,q), GL(4,q), PGL(3,q) and
PGL(4,q), Can. J. Math., 3(1951), 225-235. [6] YELKENKAYA, N.: On Gauss Sums over Finite Fields, (to appear in İst.
Üniv. Fen Fak. Mat. Der.).

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