This book presents material from 3 survey lectures and 14 additional invited lectures given at the Euroconference "Computational Methods for Representations of Groups and Algebras" held at Essen University in April 1997. The purpose of this meeting was to provide a survey of general theoretical and computational methods and recent advances in the representation theory of groups and algebras. The foundations of these research areas were laid in survey articles by P. DrAxler and R. NArenberg on "Classification problems in the representation theory of finite-dimensional algebras," R. A. Wilson...
This book presents material from 3 survey lectures and 14 additional invited lectures given at the Euroconference "Computational Methods for Represent...
The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from the points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the martin compactifications. It is the first exposition to treat compactifications of symmetric spaces systematically and to uniformized the various points of view. The work is largely self-contained, with comprehensive references to the...
The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from t...
This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics-- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics-- and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas...
This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in var...
This collection of 18 research papers, dedicated to Pierre Lelong, describes the state of the art on representative problems of complex analysis and geometry. The book opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive currents, and their further study by other mathematicians. Moreover, a list of eleven open problems is given. All other contributions contain new results related, for example, to the following items: - Capacities, product of positive currents, L2 extension theorems, Bergman kernels and metrics, new properties of convex...
This collection of 18 research papers, dedicated to Pierre Lelong, describes the state of the art on representative problems of complex analysis and g...
Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice J. Frohlich: Mathematical Aspects of the Quantum Hall Effect M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings U. Hamenstadt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology S.B. Kuksin: KAM-Theory for Partial Differential Equations M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential...
Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice J. Frohlich: Mathematical Aspects of the Quantum Hall Effect M. Giaquinta: ...
Ce. volume. u.t fioJtme de. la Ve.M-ion de6 ve. du .te.x.tu du cOn6Vte.n.cV6 fia-i.tu a N-ice. au cowu., d' un CoUoque. qu-i f.>' Ij u.t .te.n.u du 23 au 27 Ju-in 1981. Comme. Ie. f.>ugge.ILe. Mn e., Ie. f.>uje..t, volon..t e.me.n..t ILU.tfLe.-in..t, gfLav-i.ta-i.t gILof.>f.>o-modo au.toulL du upacu pILoje.c.t-i6f.> de. pe..t-i.te. d-ime.n f.>-ion e..t du co UfLbe.f.>, ce.la f.>UfL un COfLpf.> aigebfL-ique.me.n..t elM. Ii f.>e.mble. que. ce. cho-ix deUbVte a-i.t Ue b-ie.n accu danf.> I' e.nf.>e.mble. pM lu pa.Jt: ttupan..tf.>. Le. Colloque. a IL(LMe.mble une. M-ixan..ta-in.e. de. f.>peu .tu...
Ce. volume. u.t fioJtme de. la Ve.M-ion de6 ve. du .te.x.tu du cOn6Vte.n.cV6 fia-i.tu a N-ice. au cowu., d' un CoUoque. qu-i f.>' Ij u.t .te.n.u du 23...
