Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Heat Kernel on Lie Groups and Maximally Symmetric Spaces

Heat Kernel on Lie Groups and Maximally Symmetric Spaces

Avramidi, Ivan G.

Paperback

Series: Frontiers in Mathematics

AlgebraGeneral MathematicsPhysics

ISBN10: 3031274504
ISBN13: 9783031274503
Publisher: Birkhauser
Published: Apr 26 2023
Pages: 190
Weight: 0.76
Height: 0.45 Width: 6.69 Depth: 9.61
Language: English

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.

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