Lie Groups. An Approach through Invariants and Representations

Par : Claudio Procesi
Formats :
Grand Format
80,24 €
  • Paiement en ligne :
    • Livraison à domicile ou en point Mondial Relay estimée à partir du 23 septembre
      Cet article sera commandé chez un fournisseur et vous sera envoyé 127 jours après la date de votre commande.
    • Retrait Click and Collect en magasin gratuit
  • Réservation en ligne avec paiement en magasin :
    • Indisponible pour réserver et payer en magasin
  • Nombre de pages596
  • FormatGrand Format
  • PrésentationBroché
  • Poids0.94 kg
  • Dimensions15,5 cm × 23,5 cm × 3,3 cm
  • ISBN0-387-26040-4
  • EAN9780387260402
  • Date de parution12/10/2006
  • CollectionUniversitext
  • ÉditeurSpringer

Résumé

Now in its final form, after many years of development from notes and courses taught at various institutions, this book treats the structure of Lie groups, their representations and invariants from a modern point of view. All the main techniques from algebra, geometry, combinatorics, and functional analysis are presented to provide a comprehensive introduction to the various aspects of Lie theory.
Lie Groups : An Approach through Invariants and Representations Since their creation in the second half of the 19th century by the Norwegian mathematician Sophus Lie, Lie groups has been an increasing area of focus and rich research. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide range of topics associated with Lie groups : symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semi-simple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis.
Key to this unique exposition is the large amount of background material presented so the book is accessible to a reader with relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. Lie Groups : An Approach through Invariants and Representations will engage a broad audience, including advanced undergraduates, graduates, and mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

A propos de Claudio Procesi

Claudio Procesi (1941-) is Professor of Algebra in the Department of Mathematics at the University of Rome, La Sapienza. A distinguished mathematician, he received the Feltrinelli Prize in Mathematics (1986), and the Medaglia per la Matematica from the Accademia dei XL. Procesi received his Ph.D. from the University of Chicago in 1966, and wrote his Dissertation on rings with polynomial identities under I.N.
Herstein. Over the years, he has traveled throughout the world and spent time as a visiting professor in many fine universities. His research includes the areas of noncommutative algebra, algebraic groups, invariant theory, enumerative geometry, infinite-dimensional algebras, quantum groups, cyclic homology, to name several. For many years Procesi has been invited to international conferences, and has served in a variety of capacities : as a speaker, co-organiser, and as Chair of the Panel of Algebra.
He has been a member of the scientific committee of the Abdus Salam I.C.T.P. and has taken an active interest in the development of mathematics in Africa. He has served as editor of such journals as the Journal of Algebra, Communications in Algebra, the Duke Mathematical Journal, and has been on the Editorial Board of Advances in Mathematics, Mathematical Research Letters. and Transformation Groups.
Découvrir l'auteur