Heat Kernel on Lie Groups and Maximally Symmetric Spaces - Couverture souple

Avramidi, Ivan G.

Couverture souple

ISBN 10 : 3031274520 ISBN 13 : 9783031274527

Editeur : Birkhäuser, 2023

Synopsis

This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form - and derives them - for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions. This text will be a valuable resource for researchers and graduate students working in various areas of mathematics - such as global analysis, spectral geometry, stochastic processes, and financial mathematics - as well in areas of mathematical and theoretical physics - including quantum field theory, quantum gravity, string theory, and statistical physics.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 3031274520
• ISBN 13: 9783031274527
• Reliure: Broché
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible