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C. Paal E. Weidenkaff E. Fischer U. Suzuki W. Traube A. Biltz St. W. Collins J. Litzendorff M. Busch G. Lunge E. Berl L. H. Ingham H. E. Patten A. Robinson E. Pozzi-Escot R. Bensemann J. Meisenheimer F. Heim F. Raschig G. Maderna G. Cofetti K. Farnsteiner W. Stüber G. Mehrtens A. Ganghofer und O. Köpke 《Fresenius' Journal of Analytical Chemistry》1911,50(7):454-463
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J?RG?FELDVOSSEmail author SALVATORE?SICILIANO THOMAS?WEIGEL 《Transformation Groups》2016,21(2):377-398
In this paper it is shown that the projective cover of the trivial irreducible module of a finite-dimensional solvable restricted Lie algebra is induced from the one dimensional trivial module of a maximal torus. As a consequence, the number of the isomorphism classes of irreducible modules with a fixed p-character for a finite-dimensional solvable restricted Lie algebra L is bounded above by p MT(L), where MT(L) denotes the maximal dimension of a torus in L. Finally, it is proved that in characteristic p > 3 the projective cover of the trivial irreducible L-module is induced from the one-dimensional trivial module of a torus of maximal dimension, only if L is solvable. 相似文献
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L. Gattermann H. Wieland J. Houben R. Stoermer H. Meerwein K. Hess R. Kempf J. Meisenheimer H. Scheibler K. Arndt P. H. Prausnitz und Kurt H. Meyer 《Fresenius' Journal of Analytical Chemistry》1925,67(10):414-415
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