
By Claudio Procesi
Lie teams has been an expanding zone of concentration and wealthy examine because the center of the twentieth century. In Lie Groups: An process via Invariants and Representations, the author's masterful strategy provides the reader a finished therapy of the classical Lie groups in addition to an intensive advent to quite a lot of issues linked to Lie teams: symmetric services, conception of algebraic kinds, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic teams, team representations, invariants, Hilbert idea, and binary varieties with fields starting from natural algebra to practical analysis. By masking adequate historical past fabric, the e-book is made obtainable to a reader with a quite modest mathematical heritage. ancient info, examples, workouts are all woven into the textual content. This unique exposition is compatible for a huge viewers, together with complicated undergraduates, graduates, mathematicians in a number of parts from natural algebra to useful research and mathematical physics.
Read or Download Lie Groups: An Approach through Invariants and Representations (Universitext) PDF
Best Abstract books
Fundamentals of the Theory of Groups . Graduate Texts in Mathematics 62
The current variation differs from the 1st in numerous areas. specifically our remedy of polycyclic and in the neighborhood polycyclic groups-the so much ordinary generalizations of the classical suggestion of a finite soluble group-has been elevated. We thank Ju. M. Gorcakov, V. A. Curkin and V. P. Sunkov for lots of helpful feedback.
The Geometry of Discrete Groups (Graduate Texts in Mathematics) (v. 91)
This article is meant to function an creation to the geometry of the motion of discrete teams of Mobius changes. the subject material has now been studied with altering issues of emphasis for over 100 years, the latest advancements being attached with the idea of 3-manifolds: see, for instance, the papers of Poincare [77] and Thurston [101].
A Course in Homological Algebra (Graduate Texts in Mathematics)
Homological algebra has came across loads of purposes in lots of fields starting from finite and limitless staff thought to illustration conception, quantity idea, algebraic topology and sheaf conception. within the new version of this huge creation to the sector, the authors tackle a few choose themes and describe their functions, illustrating the diversity and intensity in their advancements.
Exercises for Fourier Analysis
Fourier research is an imperative software for physicists, engineers and mathematicians. a large choice of the thoughts and purposes of fourier research are mentioned in Dr. Körner's hugely renowned publication, An advent to Fourier research (1988). during this e-book, Dr. Körner has compiled a set of workouts on Fourier research that would completely try the reader's knowing of the topic.
Extra resources for Lie Groups: An Approach through Invariants and Representations (Universitext)