Heat kernel on lie groups and maximally symmetric spaces

Heat kernel on lie groups and maximally symmetric spaces / Ivan G. Avramidi.

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 sp...

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Bibliographic Details
Main Author: Avramidi, Ivan G., 1957- (Author)
Format: eBook
Language:English
Published: Cham, Switzerland : Birkhäuser, [2023]
Series:Frontiers in mathematics.
Subjects:
Kernel functions.
Heat equation.
Lie groups.
Symmetric spaces.
Heat equation
Kernel functions
Lie groups
Symmetric spaces
Online Access:Click for online access
Table of Contents:
  • Part I. Manifolds
  • Chapter. 1. Introduction
  • Chapter. 2. Geometry of Simple Groups
  • Chapter. 3. Geometry of SU(2)
  • Chapter. 4. Maximally Symmetric Spaces
  • Chapter. 5. Three-dimensional Maximally Symmetric Spaces
  • Part II: Heat Kernel
  • Chapter. 6. Scalar Heat Kernel
  • Chapter. 7. Spinor Heat Kernel
  • Chapter. 8. Heat Kernel in Two Dimensions
  • Chapter. 9. Heat Kernel on S3 and H3
  • Chapter. 10. Algebraic Method for the Heat Kernel
  • Appendix A
  • References
  • Index.

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