Last update: 1 April 2014
I.N. Bernstein, I.M. Gel’fand and S.I. Gel’fand,
The structure of representations generated by vectors of highest weight, 1971.
*This reference was mostly in russian and couldn't be copied.
[Bor1970] A. Borel, Properties and linear representations of Chevalley groups, in Seminar on algebraic groups and related finite groups, Springer Lecture Notes, Vol 131, 1970.
[Bou1968] N. Bourbaki, Groupes et Algébres de Lie, Chapitres 4, 5 et 6, Eléments de Mathématique, 34, Hermann, Paris, (1968). MR 39:1590
[Bra1967] B. Braden, Restricted representations of classical Lie algebras of type and , Bull. Amer. Math. Soc., 73 (1967), 482-486.
[Cur1960] C.W. Curtis, On projective representations of certain finite groups, Proc. Amer. Math. Soc., 11 (1960), 852-860.
[Gel1971] I. M. Gelfand, The cohomology of infinite dimensional Lie algebras; some questions in integral geometry, in Actes, Congrès intern. math., 1970, Vol. 1, pp. 95-111, Gauthier-Villars, Paris, 1971.
[Hum1971] J.E. Humphreys, Modular representations of classical Lie algebras and semisimple groups, J. Algebra, 19 (1971), 51-79.
[HVe1973] J.E. Humphreys and D.-N. Verma, Projective modules for finite Chevalley groups, Bull. Amer. Math. Soc, 79 (1973), 467-468.
[IMa1965] N. Iwahori, H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of Chevalley groups, Publ. Math. I.H.E.S. 25 (1965) 5-48 or 237-280.
[Spr1968] T.A. Springer, Weyl's character formula for algebraic groups, Inventiones Math., 5 (1968), 85-105.
[Ste1964] R. Steinberg, Differential equations invariant under finite reflection reflection groups, Trans. Amer. Math. Soc. 112 (1964), 392–400. MR 29:4807
[Ste1968-2] R. Steinberg, Endomorphisms of linear algebraic groups, Mem. Amer. Math. Soc. 80 (1968) 1–108.
[Ste1968] R. Steinberg, Lectures on Chevalley groups, Notes prepared by John Faulkner and Robert Wilson, Yale University, New Haven, CT, 1968.
[Vel1970] F. D. Veldkamp, Representations of algebraic groups of type in characteristic 2, J. Algebra, 16 (1970), 326-339.
[Ver1966] D.-N. Verma, Structure of certain induced representations of complex semisimple Lie algebras, Dissertation, Yale University, New Haven, 1966.
[Ver1968] D.-N. Verma, Structure of certain induced representations of complex semisimple Lie algebras, (announcement of [Ver1966]), Bull. Amer. Math. Soc., 74 (1968), 160-166.
[Ver1971] D.-N. Verma, Möbius inversion for the Bruhat ordering on a Weyl group, Ann. Sci. École Norm. Sup. -série, 4 (1971), 393-398.
[Ver1972] D.-N. Verma, A strengthening of the exchange property of Coxeter groups, to appear, 1972.
[Ver1972-2] D.-N. Verma, A note on Chevalley lattice and its Kostant envelope, in preparation, 1972.
[Ver1972-3] D.-N. Verma, Exponentiating the projective modules of the associated to an algebraic Chevalley group, in preparation, 1972.
[Won1971] W. J. Wong, Representations of Chevalley groups in characteristic , in Proc. of Symposia in Pure Mathematics, Vol. XXI, AMS, Providence, 1971.
This is an excerpt of the paper The Role of Affine Weyl groups in the representation theory of algebraic Chevalley groups and their Lie algebras by Daya-Nand Verma. It appeared in Lie Groups and their Representations, ed. I.M.Gelfand, Halsted, New York, pp. 653–705, (1975).