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Titlebook: Representation Theory; A First Course William Fulton,Joe Harris Textbook 2004 Springer Science+Business Media New York 2004 Abelian group.a

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41#
發(fā)表于 2025-3-28 17:44:55 | 只看該作者
42#
發(fā)表于 2025-3-28 22:05:58 | 只看該作者
Examples; Induced Representations; Group Algebras; Real Representationson over.and say a few words about the analogous question for subfields of.other than ?. Everything in this lecture is elementary except Exercises 3.9 and 3.32, which involve the notions of Clifford algebras and the Fourier transform, respectively (both exercises, of course, can be skipped).
43#
發(fā)表于 2025-3-29 02:00:43 | 只看該作者
44#
發(fā)表于 2025-3-29 06:19:59 | 只看該作者
The General Setup: Analyzing the Structure and Representations of an Arbitrary Semisimple Lie Algebrrticular, §14.2 is less clearly motivated by what we have worked out so far; the reader may wish to skim it for now and defer a more thorough reading until after going through some more of the examples of Lectures 15-20.
45#
發(fā)表于 2025-3-29 10:29:14 | 只看該作者
Graduate Texts in Mathematicshttp://image.papertrans.cn/r/image/827399.jpg
46#
發(fā)表于 2025-3-29 13:58:56 | 只看該作者
https://doi.org/10.1007/978-1-4612-0979-9Abelian group; algebra; cohomology; cohomology group; finite group; group action; homology; Lie algebra; lie
47#
發(fā)表于 2025-3-29 17:49:35 | 只看該作者
978-0-387-97495-8Springer Science+Business Media New York 2004
48#
發(fā)表于 2025-3-29 20:46:42 | 只看該作者
49#
發(fā)表于 2025-3-30 00:11:40 | 只看該作者
Representations of sl3?, Part IThis lecture develops results for . analogous to those of §11.1 (though not in exactly the same order). This involves generalizing some of the basic terms of §11 (e.g., the notions of eigenvalue and eigenvector have to be redefined), but the basic ideas are in some sense already in §11. Certainly no techniques are involved beyond those of §11.1.
50#
發(fā)表于 2025-3-30 04:26:53 | 只看該作者
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