Contains an exposition of the Wedderburn structure theorems. This work also contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory.
In celebration of Princeton University's 250th anniversary, the... Læs mere
Offers information on the Gelfand-Kirillov dimension, a powerful tool for investigating non-commutative algebras.
Aims to treat a theory of elliptic boundary value problems in domains without singularities and in domains with conical or cuspidal... Læs mere
Presents the proceedings of the joint US-China Seminar on Singularity and... Læs mere
Discusses about mathematics in Sweden between 1630 and 1950. This book tells the story of how continental mathematics came to Sweden, how... Læs mere
Presents a collection of lecture notes of the six mini courses given at the IAS/Park City Summer Mathematics Institute. This book includes such topics as interacting particle systems, percolation theory, analysis on path and loop spaces, and mathematical finance.
Presents a systematic exposition of the algebraic approach to representations of Lie groups via representations of (or modules over) the corresponding universal enveloping algebras.... Læs mere
Explores topics from classical and quantum mechanics and field theory. This book covers Lie groups and symplectic geometry, examining the connection with mechanics and... Læs mere
Offers basic facts about the structure of the finite simple groups with emphasis on a detailed description of their local subgroup structures, coverings and automorphisms. This book provides the background for the proof of the classification of the finite simple groups.
One of the key interactions occurs between dynamical systems and algorithms, one example being the by now classic observation that the QR algorithm... Læs mere