BRAWL 发表于 2025-3-23 13:36:37

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TEN 发表于 2025-3-23 15:21:56

,Anlagen für den ruhenden Kraftverkehr,In this chapter, . denotes a complex semisimple Lie algebra, . a Cartan subalgebra of . and . the corresponding root system. We choose a base . = α.,…, α. of ., and we denote by . the set of positive roots (with respect to .).

Horizon 发表于 2025-3-23 20:43:15

https://doi.org/10.1007/978-3-662-25020-4This chapter contains no proofs. All the Lie groups considered (except in Sec. 7) are . groups.

公式 发表于 2025-3-24 01:31:01

Nilpotent Lie Algebras and Solvable Lie Algebras,The Lie algebras considered in this chapter are finite-dimensional algebras over a field .. In Sees. 7 and 8 we assume that . has characteristic 0. The Lie bracket of . and . is denoted by [.], and the map . → [.] by ad ..

曲解 发表于 2025-3-24 05:58:02

Semisimple Lie Algebras (General Theorems),In this chapter, the base field . is a field of characteristic zero.The Lie algebras and vector spaces considered have finite dimension over ..

Conflict 发表于 2025-3-24 10:31:31

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.

CHASM 发表于 2025-3-24 11:25:10

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

HILAR 发表于 2025-3-24 16:01:52

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直觉好 发表于 2025-3-24 20:49:37

Structure of Semisimple Lie Algebras,Throughout this chapter, .denotes a ., and . a . of . (cf. Chap. III).

BAN 发表于 2025-3-25 02:30:43

Linear Representations of Semisimple Lie Algebras,In this chapter, . denotes a complex semisimple Lie algebra, . a Cartan subalgebra of . and . the corresponding root system. We choose a base . = α.,…, α. of ., and we denote by . the set of positive roots (with respect to .).
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查看完整版本: Titlebook: Complex Semisimple Lie Algebras; Jean-Pierre Serre Book 2001 Springer-Verlag Berlin Heidelberg 2001 Lie algebra.Lie algebras.Matrix.Repres