Moody, R. V.; Teo, K. L. Tits’ systems with crystallographic Weyl groups. (English) Zbl 0232.20089 J. Algebra 21, 178-190 (1972). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 30 Documents MSC: 20E42 Groups with a \(BN\)-pair; buildings 20G05 Representation theory for linear algebraic groups Citations:Zbl 0222.17007 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bourbaki, N., Groupes et algèbres de Lie (1968), Hermann: 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: 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] L. Solomon and D. N. Verma; L. Solomon and D. N. Verma [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.