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標(biāo)題: Titlebook: Octonions, Jordan Algebras and Exceptional Groups; Tonny A. Springer,Ferdinand D. Veldkamp Book 2000 Springer-Verlag Berlin Heidelberg 200 [打印本頁(yè)]

作者: DEBUT 時(shí)間: 2025-3-21 18:13
書目名稱Octonions, Jordan Algebras and Exceptional Groups影響因子(影響力)

書目名稱Octonions, Jordan Algebras and Exceptional Groups影響因子(影響力)學(xué)科排名

書目名稱Octonions, Jordan Algebras and Exceptional Groups網(wǎng)絡(luò)公開度

書目名稱Octonions, Jordan Algebras and Exceptional Groups網(wǎng)絡(luò)公開度學(xué)科排名

書目名稱Octonions, Jordan Algebras and Exceptional Groups被引頻次

書目名稱Octonions, Jordan Algebras and Exceptional Groups被引頻次學(xué)科排名

書目名稱Octonions, Jordan Algebras and Exceptional Groups年度引用

書目名稱Octonions, Jordan Algebras and Exceptional Groups年度引用學(xué)科排名

書目名稱Octonions, Jordan Algebras and Exceptional Groups讀者反饋

書目名稱Octonions, Jordan Algebras and Exceptional Groups讀者反饋學(xué)科排名

作者: Asymptomatic 時(shí)間: 2025-3-22 00:00

作者: 刺激 時(shí)間: 2025-3-22 02:57
Twisted Composition Algebras,heory comes from exceptional Jordan algebras and twisted algebraic groups of type D.. In particular, the notion of reduced twisted composition algebra comes from reduced Jordan algebras. We refer to Ch. 6 for the details.

作者: Flavouring 時(shí)間: 2025-3-22 04:43
Proper J-algebras and Twisted Composition Algebras,e that a J-algebra is reduced if and only if certain twisted composition algebras are reduced. This will lead to the result, already announced at the end of Ch. 5, that every J-algebra over an algebraic number field is reduced (see Cor. 6.3.4).

作者: 滲透 時(shí)間: 2025-3-22 11:22

作者: Desert 時(shí)間: 2025-3-22 12:55
Book 2000sults from algebra. In the group-theoretical part use is made of some results from the theory of linear algebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra.

作者: 怒目而視 時(shí)間: 2025-3-22 18:55

作者: Vital-Signs 時(shí)間: 2025-3-22 21:56
J-algebras and Albert Algebras, into the general theory of Jordan algebras, but use an ad hoc characterization of the algebras under consideration by simple axioms, which are somewhat reminiscent of those for composition algebras. We call these algebras J-algebras, since they are in fact a limited class of Jordan algebras; see Remark 5.1.7.

作者: Oligarchy 時(shí)間: 2025-3-23 02:30
1439-7382 ebraic groups. The book will be useful to mathematicians interested in octonion algebras and Albert algebras, or in exceptional groups. It is suitable for use in a graduate course in algebra.978-3-642-08563-5978-3-662-12622-6Series ISSN 1439-7382 Series E-ISSN 2196-9922

作者: harangue 時(shí)間: 2025-3-23 06:40
Composition Algebras,ras with quadratic norms, we need some fundamental parts of the theory of quadratic forms, which we therefore recall in the first section. It will be shown that the norm on a composition algebra already determines the algebra up to isomorphism. This leads to a more or less explicit determination of

作者: 畸形 時(shí)間: 2025-3-23 10:17
Triality,nd with the related triality in the Lie algebras of these groups, usually called local triality. Geometric triality on the quadric .(.) = 0 in case . is isotropic will be left aside; the reader interested in the subject may consult [B1Sp 60] and [Che 54, Ch. IV].

作者: gonioscopy 時(shí)間: 2025-3-23 17:48

作者: 無底 時(shí)間: 2025-3-23 20:45
J-algebras and Albert Algebras, algebras. Our interest in Albert algebras is motivated by their connections with exceptional simple algebraic groups of type E. and F., a topic we will deal with in Ch. 7. They also play a role in a description of algebraic groups of type E. and E., but we leave that aspect aside. We will not enter

作者: 有權(quán) 時(shí)間: 2025-3-24 00:22
Proper J-algebras and Twisted Composition Algebras,tion of J-algebras which includes all nonreduced ones. For this purpose we make a link between J-algebras and twisted composition algebras. We will see that a J-algebra is reduced if and only if certain twisted composition algebras are reduced. This will lead to the result, already announced at the

作者: Misgiving 時(shí)間: 2025-3-24 05:15

作者: Initial 時(shí)間: 2025-3-24 08:16

作者: PAEAN 時(shí)間: 2025-3-24 11:02
https://doi.org/10.1007/978-3-662-12622-6Albert Algebras; Algebraic structure; Exceptional Groups; Octonions; algebra

作者: 2否定 時(shí)間: 2025-3-24 16:20
The Automorphism Group of an Octonion Algebra,In this chapter we study the group . = Aut(.) of automorphisms of an octonion algebra . over a field .. By “automorphism” we will in this chapter always understand a .. Since automorphisms leave the norm invariant, Aut(.) is a subgroup of the orthogonal group O(.) of the norm of ..

作者: 拍翅 時(shí)間: 2025-3-24 21:08