عنوان
پدید آورنده
موضوع
رده
QA179 .B66 1998
QA179
.
B66
1998
کتابخانه
محل استقرار
0821809040
9780821809044
The book of involutions /
[Book]
Max-Albert Knus, Alexander Merkurjev, Markus Rost, [and] Jean-Pierre Tignol.
Providence, R.I. :
American Mathematical Society,
©1998.
xxi, 593 pages ;
27 cm
Colloquium publications / American Mathematical Society,
vol. 44
0065-9258 ;
Includes exercises and notes at chapter ends, bibliographical references (pages 573-588) and indexes.
Preface [in French] by Jacques Tits.
Involutions and Hermitian forms -- Invariants of involutions -- Similitudes -- Algebras of degree four -- Algebras of degree three -- Algebraic groups -- Galois cohomology -- Composition and triality -- Cubic Jordan algebras -- Trialitarian central simple algebras.
0
This monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. It provides the algebra-theoretic foundations for much of the recent work on linear algebraic groups over arbitrary fields. Involutions are viewed as twisted forms of (hermitian) quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are also discussed, as well as groups of type F₄ or G₂ arising from exceptional Jordan or composition algebras.
Galois theory.
Hermitian forms.
Homology theory.
Linear algebraic groups.
Formes hermitiennes.
Galois, Théorie de.
Groupes linéaires algébriques.
Homologie.
31.23 rings, algebras.
Algebra mit Involution
Algebraische Gruppe
Formes hermitiennes.
Galois theory.
Galois, Théorie de.
Galois-Kohomologie
Groupes algébriques linéaires.
Hermitesche Form
Hermitian forms.
Homologie.
Homologietheorie
Homology theory.
Involution
Jordan-Algebra
Linear algebraic groups.
Lineare algebraische Gruppe
Ringen (wiskunde)
512/
.
5
21
QA179
.
B66
1998
31
.
23
SK
200
bcl
rvk
Knus, Max-Albert.
Merkurjev, Alexander,1955-
Rost, Markus.
Tignol, Jean-Pierre
20200824093337.0
مطالعه متن کتاب [Book]
Y
