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Orthogonal Decompositions and Integral Lattices : Special Research Unit 227--Prevention and Intervention in Ch - Alexei I. Kostrikin

Orthogonal Decompositions and Integral Lattices

Special Research Unit 227--Prevention and Intervention in Ch

Hardcover

Published: 1st November 1994
For Ages: 22+ years old
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The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2018)
Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Botjan Gabrovek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Preface
Introductionp. 1
Orthogonal decompositions of complex simple Lie algebrasp. 11
Type A[subscript n]p. 13
The types B[subscript n], C[subscript n] and D[subscript n]p. 56
Jordan subgroups and orthogonal decompositionsp. 84
Irreducible orthogonal decompositions of Lie algebras with special Coxeter numberp. 107
Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type A[subscript n]p. 141
Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type B[subscript n]p. 162
Orthogonal decompositions of semisimple associative algebrasp. 187
Integral lattices and their automorphism groupsp. 199
Invariant lattices of type G[subscript 2] and the finite simple G[subscript 2](3)p. 203
Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type A[subscript p-1]p. 231
Invariant lattices of type [actual symbol not reproducible]p. 285
The types [actual symbol not reproducible] and [actual symbol not reproducible]p. 355
Invariant lattices of types F[subscript 4] and E[subscript 6], and the finite simple groups L[subscript 4](3), [actual symbol not reproducible], Fi[subscript 22]p. 409
Invariant lattices of type E[subscript 8] and the finite simple groups F[subscript 3], L[subscript 4](5)p. 440
Other lattice constructionsp. 471
Appendixp. 505
Bibliographyp. 511
Notationp. 526
Author Indexp. 529
Subject Indexp. 531
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110137835
ISBN-10: 3110137836
Series: Special Research Unit 227--Prevention and Intervention in Ch
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 545
Published: 1st November 1994
Country of Publication: DE
Dimensions (cm): 24.28 x 17.78  x 3.18
Weight (kg): 1.02