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Algebraic Structures of Symmetric Domains
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Language:
English
Published/Copyright:
2014
About this book
This book is a comprehensive treatment of the general (algebraic) theory of symmetric domains.
Originally published in 1981.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Topics
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Frontmatter
i -
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Preface
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Contents
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Instructions to the Reader
xi -
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List of Symbols
xv -
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Chapter I. Algebraic Preliminaries
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Chapter II. Basic Concepts on Symmetric Domains
44 -
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Chapter III. Unbounded Realizations of Symmetric Domains. (Theory of Wolf -Korányi)
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Chapter IV. Equivariant Holomorphic Maps of a Symmetric Domain into a Siegel Space
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Chapter V. Infinitesimal Automorphisms of Symmetric Siegel Domains
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Appendix: Classical Domains
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References
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Index
319
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 10, 2015
eBook ISBN:
9781400856800
Edition:
Course Book
Pages and Images/Illustrations in book
eBook ISBN:
9781400856800
Keywords for this book
Lie algebra; Algebraic group; Existential quantification; Irreducible representation; Vector space; Quaternion algebra; Jordan algebra; Embedding; Subgroup; Theorem; Direct sum; Hermitian symmetric space; Maximal compact subgroup; Automorphism; Bilinear map; Clifford algebra; Bilinear form; Linear algebraic group; Division algebra; Linear map; Dimension (vector space); Cartan decomposition; Spin representation; Summation; Classical group; Tensor algebra; Symmetric bilinear form; Special case; Algebraic equation; Direct product; Algebraic number field; Algebraic structure; Semisimple algebra; Zariski topology; Subalgebra; Algebra homomorphism; Ideal (ring theory); Group homomorphism; Siegel domain; Root system; F-algebra; Semisimple Lie algebra; Unit (ring theory); Triple product; Algebraic variety; Algebraic closure; Algebraic geometry; Tensor product; Integral domain; Degenerate bilinear form; Special linear group; Complex manifold; Automorphic form; Inner automorphism; Polynomial ring; General linear group; Weyl's theorem; Complex dimension; Adjoint representation; Central simple algebra; Complexification (Lie group); Associative algebra; Coset; Weyl group; Symmetric space; Isomorphism class; Uniqueness theorem; Algebra representation; Cohomology; Orthogonal basis
Audience(s) for this book
For an expert adult audience, including professional development and academic research
