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Titlebook: Algebra IX; Finite Groups of Lie A. I. Kostrikin,I. R. Shafarevich Book 1996 Springer-Verlag Berlin Heidelberg 1996 Algebra.Brauer group.Br

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Finite-Dimensional Division Algebras,real quaternions, which rapidly led to diverse applications in physics and mechanics. However, further extension of our knowledge of finite-dimensional division algebras was delayed, and even acquired a somewhat dramatic character. Thus, after the origin and study of the real quaternions there follo
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Book 1996basic information Carter describes the Deligne-Lusztig method of obtaining characters of these groups using l-adic cohomology and subsequent work of Lusztig..The second part by Platonov and Yanchevskii surveys the structure of finite-dimensional division algebras and includes an account of reduced K
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Finite-Dimensional Division Algebras,wed a long period (until the beginning of the present century), during which no other finite-dimensional division algebras were discovered. We only remark that in 1880 Frobenius proved that over the field of real numbers there exists no non-commutative division algebra apart from Hamilton’s quaternions.
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