@article{5baf983cd8cd43edb845f3fa8ff9a053,

title = "Minimal characters of the finite classical groups",

abstract = "Let G(q) be a finite simple group of Lie type over a finite field of order q and d(G(q)) the minimal degree of faithful projective complex representations of G(q). For the case G(q) is a classical group we determine the number of projective complex characters of G(q) of degree d(G(q)). In several cases we also determine the projective complex characters of the second and the third lowest degrees. As a corollary of these results we deduce the classification of quasi-simple irreducible complex linear groups of degree at most 2r, r a prime divisor of the group order.",

author = "Tiep, {Pham Huu} and Zalesskii, {Alexander E.}",

note = "Funding Information: The paper has been mainly prepared in framework of the collaboration between the Institute for Experimental Mathematics, University of Essen, and the Institute of Mathematics, Academy of Sciences of Belarus. The authors are grateful to Prof. Dr. G. 0. Michler and his colleagues at the Institute for Experimental Mathematics for stimulating conversations and their generous hospitality. The first author acknowledges the financial support of the Alexander von Humboldt Foundation. The second author is thankful to the Volkswagen Foundation for its financial support. The authors are indebted to Prof. A. I. Kostrikin for his encouragement, and Professors G. Hi8 and K. Lux for helpful discussions. The preparation of this paper has been completed during the stay of the first author at the Israel Institute of Technology. His sincere thanks go to Prof. D. Chillag and his colleagues at the Technion for their generous hospitality.",

year = "1996",

doi = "10.1080/00927879608825690",

language = "English (US)",

volume = "24",

pages = "2093--2167",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "6",

}