Heat Kernel on Lie Groups and Maximally Symmetric Spaces (1st ed. 2023)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Frontiers in Mathematics
Release date:	April 2023
First published:	2023
Authors:	Ivan G. Avramidi
Dimensions:	240 x 168mm (L x W)
Pages:	190
Edition:	1st ed. 2023
ISBN-13:	978-3-03-127450-3
Categories:	Books
LSN:	3-03-127450-4
Barcode:	9783031274503

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!