婉言 发表于 2025-3-21 19:44:18
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Frobenius Splittings,ings have proven to be a amazingly effective when they apply. Proofs involving Frobenius splittings tend to be very efficient. Other methods usually require a much more detailed knowledge of the object under study. For instance, while showing that the intersection of one union of Schubert varietiesInferior 发表于 2025-3-22 06:05:59
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Representations of Complex Semi-simple Lie Groups and Lie Algebras,ometry, number theory, and theoretical physics. In some sense, the heart of (classical) representation theory is in the study of the semisimple Lie groups. Their study is simultaneously simple in its beauty, as well as complex in its richness. From Killing, Cartan, and Weyl, to Dynkin, Harish-ChandrAdditive 发表于 2025-3-22 16:05:54
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Representations of Complex Semi-simple Lie Groups and Lie Algebras,a, Bruhat, Kostant, and Serre, many mathematicians in the twentieth century have worked on building up the theory of semisimple Lie algebras and their universal enveloping algebras. Books by Borel, Bourbaki, Bump, Chevalley, Humphreys, Jacobson, Varadarajan, Vogan, and others form the texts for (introductory) graduate courses on the subject.labile 发表于 2025-3-23 02:27:19
,Orthogonal Latin Squares and the Falsity of Euler’s Conjecture,tructure and are related to other combinatorial objects. These have applications in different areas, including statistical design of experiments and cryptology. Comprehensive accounts of the theory and applications of Latin squares are available in the books by J. Dénes and A. D. Keedwell (1974, 1991) and C. F. Laywine and G. L. Mullen (1998).Deference 发表于 2025-3-23 05:31:38
,Cramér-Rao Lower Bound and Information Geometry,r bound to the variance of an estimator. The importance of this work can be gauged, for instance, by the fact that it has been reprinted in the volume . . There have been two major impacts of this work: