Permanent 发表于 2025-3-23 11:09:59

Folgen und Wirkungen des VerkehrsIn this chapter, g denotes a complex semisimple Lie algebra, h a Cartan subalgebra of g, and . the corresponding root system. We choose a base . = {..,...,..} of ., and we denote by .. the set of positive roots (with respect to .).

Innocence 发表于 2025-3-23 15:35:40

Folgen und Wirkungen des VerkehrsThis chapter contains no proofs. All the Lie groups considered (except in Sec. 7) are . groups.

GULLY 发表于 2025-3-23 20:25:47

Nilpotent Lie Algebras and Solvable Lie Algebras,The Lie algebras considered in this chapter are finite-dimensional algebras over a field .. In Secs. 7 and 8 we assume that . has characteristic O. The Lie bracket of . and y is denoted by [.], and the map y ↦ [.] by ad ..

endure 发表于 2025-3-24 01:56:20

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uveitis 发表于 2025-3-24 04:30:04

Cartan Subalgebras,In this chapter (apart from Sec. 6) the ground field is the field . of complex numbers. The Lie algebras considered are finite dimensional.

流利圆滑 发表于 2025-3-24 08:28:51

The Algebra sl2 and Its Representations,In this chapter (apart from Sec. 6) the ground field is the field C of complex numbers.

惊奇 发表于 2025-3-24 14:33:55

Root Systems,In this chapter (apart from Sec. 17) the ground field is the field . of real numbers. The vector spaces considered are all finite dimensional.

乞讨 发表于 2025-3-24 17:11:03

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cathartic 发表于 2025-3-24 22:27:08

Linear Representations of Semisimple Lie Algebras,In this chapter, g denotes a complex semisimple Lie algebra, h a Cartan subalgebra of g, and . the corresponding root system. We choose a base . = {..,...,..} of ., and we denote by .. the set of positive roots (with respect to .).

Gratuitous 发表于 2025-3-25 00:57:32

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查看完整版本: Titlebook: Complex Semisimple Lie Algebras; Jean-Pierre Serre Book 1987 Springer Science+Business Media New York 1987 algebra.lie algebra.lie group.r