On the representations of reductive groups with disconnected centre
Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke, Astérisque, no. 168 (1988), pp. 157-166. 
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     author = {Lusztig, George},
     title = {On the representations of reductive groups with disconnected centre},
     booktitle = {Orbites unipotentes et repr\'esentations - I. Groupes finis et Alg\`ebres de Hecke},
     series = {Ast\'erisque},
     pages = {157--166},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {168},
     year = {1988},
     zbl = {0703.20036},
     language = {en},
     url = {http://www.numdam.org/item/AST_1988__168__157_0/}
}
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Lusztig, George. On the representations of reductive groups with disconnected centre, dans Orbites unipotentes et représentations - I. Groupes finis et Algèbres de Hecke, Astérisque, no. 168 (1988), pp. 157-166. http://www.numdam.org/item/AST_1988__168__157_0/

[1] T. Asai, Endomorphism algebras of the reductive group over 𝔽 q of classical type, (unpublished manuscript).

[2] P. Deligne and G. Lusztig, Representations of reductive groups over finite fields, Ann. of Math. 103 (1976), 103-161. | DOI | Zbl

[3] G. Lusztig, Irreducible representations of finite classical groups, Invent. Math. 43 (1977), 125-175. | DOI | EuDML | Zbl

[4] G. Lusztig, Characters of reductive groups over a finite field, Ann. of Math. Studies 107, Princeton University Press, 1984. | Zbl

[5] G. Lusztig, Characters of reductive groups over finite fields, Proc. Int. Cong. Math. Warszawa 1983. | Zbl