Authors:A. Bialynicki-Birula, J. Carrell, W.M. McGovern,
Publisher: Springer
Keywords: adjoint, representation, action, cohomology, actions, quotients, torus, algebraic
Number of Pages: 242
Published: 2002-06-10
List price: $149.00
ISBN-10: 3540432116
ISBN-13: 9783540432111

The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions

Author: Anatolii M. Samoilenko
Publisher: Springer
Keywords: mathematics, applications, operators, adjoint, theory, families, spectral
Number of Pages: 316
Published: 1991-01-31
List price: $179.00
ISBN-10: 0792307038
ISBN-13: 9780792307037

This volume deals with structure theorems and models for finite and countable families of self-adjoint operators which satisfy commutative, noncommutative, Lie and more general relations. Such families are studied because of their relation to mathematical models of quantum systems in theoretical physics, representation theory of Lie groups and Lie algebras, (in particular, `large’ Lie algebras), and representation of infinitesimal objects of these supergroups and superalgebras. The methods employed are those of commutative and noncommutative probability theory. For mathematicians and

Authors:Nelson Dunford, Jacob T. Schwartz,
Publisher: Wiley-Interscience
Keywords: operators, space, part, hilbert, theory, spectral, linear, adjoint
Number of Pages: 1088
Published: 1988-02
List price: $166.00
ISBN-10: 0471608475
ISBN-13: 9780471608479

Authors:Nikolay D. Kopachevsky, Selim Krein,
Publisher: Birkhäuser Basel
Keywords: operator, problems, applications, fluids, theory, viscous, advances, nonself, approach, linear, hydrodynamics, volume, adjoint
Number of Pages: 444
Published: 2003-10-10
List price: $285.00
ISBN-10: 3764321903
ISBN-13: 9783764321901

This is the second volume of a set of two devoted to the operator approach to linear problems in hydrodynamics (Volume 1: 3-7643-5406-2). It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work relies on the authors’ and their students’ works of the last 30-40 years. The readers are not supposed to be familiar with the methods of functional analysis. The second part of the present volume collects nonself-adjoint problems on small motions