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Strade, Helmut. Representations of the (р 2 - 1)-Dimensional Lie Algebras of R. E. Block. Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 580-616. doi: 10.4153/CJM-1991-035-x
@article{10_4153_CJM_1991_035_x,
author = {Strade, Helmut},
title = {Representations of the ({\cyrr} 2 - {1)-Dimensional} {Lie} {Algebras} of {R.} {E.} {Block}},
journal = {Canadian journal of mathematics},
pages = {580--616},
year = {1991},
volume = {43},
number = {3},
doi = {10.4153/CJM-1991-035-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1991-035-x/}
}
TY - JOUR AU - Strade, Helmut TI - Representations of the (р 2 - 1)-Dimensional Lie Algebras of R. E. Block JO - Canadian journal of mathematics PY - 1991 SP - 580 EP - 616 VL - 43 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1991-035-x/ DO - 10.4153/CJM-1991-035-x ID - 10_4153_CJM_1991_035_x ER -
[Bl-58] Block, R.E., New simple Lie algebras of prime characteristic, Trans. Amer. Math. Soc. 89(1958), 421–449. Google Scholar
[BW-88] Block, R.E. and Wilson, R.L., Classsification of the restricted simple Lie algebras, J. Algebra 114(1988), 115–259. Google Scholar
[1113] [Oeh-65] Oehmke, R.H., On a class of Lie algebras, Proc. Amer. Math. Soc. 16(1965), 1107—1113. Google Scholar
[Se] Seligman, G.B., Modular Lie Algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, 40 Springer- Verlag, 1967. Google Scholar
[Sch-60] Schafer, R.D., Nodal noncommutative Jordan algebras and simple Lie algebras of characteristic p,, Trans. Amer. Math. Soc. 94(1960), 310–326. Google Scholar
[St-77] Strade, H., Representations of the Witt algebra, J. Algebra 49(1977), 595–605. Google Scholar
[St-89/1] Strade, H., The absolute toral rank of a Lie algebra, in: G.M.Benkart and J.M.Osborn (eds), Lie algebras. Madison 1987, Lecture Notes in Math. 1373(1989), Springer Berlin-New York, 1–28. Google Scholar
[St-89/2] Strade, H., The classification of the simple modular Lie algebras: I. Determination of the two-sections,, Ann. of Math. 130(1990), 643–677. Google Scholar
[St-89/3] Strade, H., Lie algebra representations of dimension > p2 , Trans. Amer. Math. Soc. 316(1989), 1–21. [St-1] , The classification of the simple modular Lie algebras: II. The toral structure, J. Algebra, (to appear). +p2+,+Trans.+Amer.+Math.+Soc.+316(1989),+1–21.+[St-1]+,+The+classification+of+the+simple+modular+Lie+algebras:+II.+The+toral+structure,+J.+Algebra,+(to+appear).>Google Scholar
[St-2] Strade, H., The classification of the simple modular Lie algebras: III. Solution of the classical case, Ann. of Math, (to appear). Google Scholar
[St-3] Strade, H., New methods for the classification of the simple modular Lie algebras, Mat. Sbornik 181(1990), 1391–1402. Google Scholar
[St-4] Strade, H., The classification of the simple modular Lie algebras: IV. The determination of the associated graded algebra, submitted. Google Scholar
[SF-88] Strade, H. and Farnsteiner, R., Modular Lie algebras and their representations. Marcel Dekker Textbooks and Monographs 116, 1988. Google Scholar
[W-76] Wilson, R.L., A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic, J. Algebra 40(1976), 418–465. Google Scholar
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