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Tits’ systems with crystallographic Weyl groups. (English) Zbl 0232.20089

##### MSC:
 20E42 Groups with a $$BN$$-pair; buildings 20G05 Representation theory for linear algebraic groups
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##### References:
 [1] Bourbaki, N., Groupes et algèbres de Lie, (1968), Hermann Paris, Chaps. 4, 5, and 6 · Zbl 0186.33001 [2] Chevalley, C., Sur certain groupes simples, Tôhoku math. J., 7, 14-66, (1955), (2) · Zbl 0066.01503 [3] Iwahori, N., On the structure of the Hecke ring of a Chevalley group over a finite field, J. fac. sci. univ. Tokyo sect. I, 10, 215-236, (1964) · Zbl 0135.07101 [4] Iwahori, N.; Matsumoto, H., On some Bruhat decomposition and the structure of the Hecke rings of $$p$$-adic Chevalley groups, Publ. math. I.H.E.S., 25, 5-48, (1965) · Zbl 0228.20015 [5] Jacobson, N., Lie algebras, (1962), Interscience New York · JFM 61.1044.02 [6] Kac, V.G., Simple irreducible graded Lie algebras of finite growth, Math. U.S.S.R.-izv., 2, No. 6, 1271-1311, (1968) · Zbl 0222.17007 [7] Lim, C.K., A structure theorem on Weyl groups associated with generalized Cartan matrices, Nanta math., 3, 45-50, (1968) · Zbl 0186.05102 [8] Moody, R.V., A new class of Lie algebras, J. algebra, 10, 211-230, (1968) · Zbl 0191.03005 [9] Moody, R.V., Simple quotients of Euclidean Lie algebras, Canad. J. math., Vol. XXII, No. 4, 839-846, (1970) · Zbl 0219.17007 [10] \scL. Solomon and D. N. Verma, Oral communication. [11] Steinberg, R., Lectures on Chevalley groups, Yale univ. lecture notes, (1967) [12] Tits, J., Algebraic and abstract simple groups, Ann. of math., 80, 313-329, (1964), (2) · Zbl 0131.26501
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