Ebook Info
- Published: 2010
- Number of pages: 248 pages
- Format: PDF
- File Size: 12.92 MB
- Authors: A.I. Kostrikin
Description
The first contribution by Carter covers the theory of finite groups of Lie type, an important field of current mathematical research. In the second part, Platonov and Yanchevskii survey the structure of finite-dimensional division algebras, including an account of reduced K-theory.
User’s Reviews
Editorial Reviews: From the Back Cover The finite groups of Lie type are of central mathematical importance and the problem of understanding their irreducible representations is of great interest. The representation theory of these groups over an algebraically closed field of characteristic zero was developed by P.Deligne and G.Lusztig in 1976 and subsequently in a series of papers by Lusztig culminating in his book in 1984. The purpose of the first part of this book is to give an overview of the subject, without including detailed proofs. The second part is a survey of the structure of finite-dimensional division algebras with many outline proofs, giving the basic theory and methods of construction and then goes on to a deeper analysis of division algebras over valuated fields. An account of the multiplicative structure and reduced K-theory presents recent work on the subject, including that of the authors. Thus it forms a convenient and very readable introduction to a field which in the last two decades has seen much progress.
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Keywords
Free Download Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77) in PDF format
Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77) PDF Free Download
Download Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77) 2010 PDF Free
Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77) 2010 PDF Free Download
Download Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77) PDF
Free Download Ebook Algebra IX: Finite Groups of Lie Type Finite-Dimensional Division Algebras (Encyclopaedia of Mathematical Sciences, 77)