Orthogonal Decompositions and Integral Lattices /

Orthogonal Decompositions and Integral Lattices / / Alexei Kostrikin, Pham Huu Tiep.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Kostrikin, Alexei,
Tiep, Pham Huu,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©1994
Year of Publication:2011
Edition:Reprint 2011
Language:English
Series:De Gruyter Expositions in Mathematics , 15
Online Access:
Physical Description:1 online resource (535 p.) :; Num. figs and tabs.
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Table of Contents:
  • Frontmatter
  • Preface
  • Introduction
  • Part I Orthogonal decompositions of complex simple Lie algebras
  • Chapter 1 Type An
  • Chapter 2 The types Βn, Cn and Dn
  • Chapter 3 Jordan subgroups and orthogonal decompositions
  • Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number
  • Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An
  • Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn
  • Chapter 7 Orthogonal decompositions of semisimple associative algebras
  • Part II Integral lattices and their automorphism groups
  • Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3)
  • Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1
  • Chapter 10 Invariant lattices of type Apm-1
  • Chapter 11 The types B2m-1 and D2m
  • Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22
  • Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5)
  • Chapter 14 Other lattice constructions
  • Appendix
  • Bibliography
  • Notation
  • Author Index
  • Subject Index

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