An introduction to noncommutative spaces and their geometries

These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some 'virtual noncommutative space'. Attention is switched from spac...

תיאור מלא

שמור ב:
מידע ביבליוגרפי
מחבר ראשי: Landi, Giovanni
פורמט: Livre numérique
שפה:Anglais
יצא לאור: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
סדרה:Lecture notes in physics. M, Monographs 51
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Accès Université d'Orléans
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הערה: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• An introduction to noncommutative spaces and their geometries, Giovanni Landi, Berlin, Springer, 1997, 1 vol. (XI-200 p.), Lecture notes in physics, 3-540-63509-2
• An Introduction to Noncommutative Spaces and Their Geometries, Texte imprimé, 9783662141083
• An Introduction to Noncommutative Spaces and Their Geometries, Texte imprimé, 9783662141090
תוכן הענינים:
  • Noncommutative Spaces and Algebras of Functions
  • Projective Systems of Noncommutative Lattices
  • Modules as Bundles
  • A Few Elements of K-Theory
  • The Spectral Calculus
  • Noncommutative Differential Forms
  • Connections on Modules
  • Field Theories on Modules
  • Gravity Models
  • Quantum Mechanical Models on Noncommutative Lattices.