Authors:Armand Borel, Lizhen Ji,
Publisher: Birkhäuser Bosto
Keywords: symmetric, theory, applications, mathematics, spaces, locally, compactifications
Number of Pages: 479
Published: 2005-12-08
List price: $89.95
ISBN-10: 0817632476
ISBN-13: 9780817632472

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological s

Author: Bruce E. Sagan
Publisher: Springer
Keywords: symmetric, graduate, texts, mathematics, second, algorithms, group, representations, combinatorial, functions
Number of Pages: 264
Published: 2001-04-20
List price: $59.95
ISBN-10: 0387950672
ISBN-13: 9780387950679

This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

Author: I. G. Macdonald
Publisher: Oxford University Press, USA
Keywords: mathematical, monographs, oxford, polynomials, functions, hall, symmetric
Number of Pages: 488
Published: 1999-07-29
List price: $150.00
ISBN-10: 0198504500
ISBN-13: 9780198504504

This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.

Authors:Yury J. Ionin, Mohan S. Shrikhande,
Publisher: Cambridge University Press
Keywords: mathematical, monographs, new, designs, symmetric, combinatorics
Number of Pages: 534
Published: 2006-05-29
List price: $183.00
ISBN-10: 0521818338
ISBN-13: 9780521818339

Providing a unified exposition of the theory of symmetric designs with emphasis on recent developments, this volume covers the combinatorial aspects of the theory, giving particular attention to the construction of symmetric designs and related objects. The last five chapters are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. The book concludes with a comprehensive bibliography of over 400 entries. Detailed proofs and a large number of exercises make it suitable as a t

Author: Leonid L. Vaksman
Publisher: American Mathematical Society
Keywords: mathematical, monographs, translations, domains, bounded, symmetric, quantum
Number of Pages: 256
Published: 2010-07-09
List price: $105.00
ISBN-10: 0821849093
ISBN-13: 9780821849095

This book provides exposition of the basic theory of quantum bounded symmetric domains. The area became active in the late 1990s at a junction of noncommutative complex analysis and extensively developing theory of quantum groups. It is well known that the classical bounded symmetric domains involve a large number of nice constructions and results of the theory of $C^*$-algebras, theory of functions and functional analysis, representation theory of real reductive Lie groups, harmonic analysis, and special functions. In a surprising advance of the theory of quantum bounded symmetric domains, it

Authors:Alok Sutradhar, Glaucio H. Paulino, Leonard J. Gra
Publisher: Springer
Keywords: method, element, boundary, galerkin, symmetric
Number of Pages: 276
Published: 2008-11-21
List price: $129.00
ISBN-10: 354068770X
ISBN-13: 9783540687702

Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES• Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field.• Covers applications in two-dimensional and three-dimensional problems of potential theory and elasticity

Author: Sigurdur Helgason
Publisher: American Mathematical Society
Keywords: graduate, studies, mathematics, spaces, symmetric, geometry, lie, groups, differential
Number of Pages: 641
Published: 2001-06-12
List price: $76.00
ISBN-10: 0821828487
ISBN-13: 9780821828489

The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason’s classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard