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Introduction to Prehomogeneous Vector Spaces - Sato Theory

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£125.00 £110.23 £113.45 £116.67 £119.90 £123.12 £126.34 25 July 2026 15 August 2026 05 September 2026 26 September 2026 17 October 2026
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Description

This foundational introductory book explores the theory of prehomogeneous vector spaces, a mathematical framework introduced by Mikio Sato in the 1970s. Written by an early developer and active researcher in the field, the text bridges multiple mathematical disciplines including algebraic geometry, Lie groups, analysis, number theory, and invariant theory. A central focus is applying prehomogeneous vector space theory to number theory through the study of zeta functions attached to these spaces, which generalise the Riemann zeta function and reveal deep connections between harmonic analysis and arithmetic. Published by the American Mathematical Society, this monograph provides rigorous foundational material for mathematicians seeking to understand this sophisticated area of modern mathematics.

Key Features

Sato's prehomogeneous vector spaces theory from the 1970s presented with clear introductory treatment for students and researchers new to the subject.

Combines algebraic geometry, Lie groups, analysis, number theory, and invariant theory into a unified mathematical framework.

Explores zeta functions attached to prehomogeneous vector spaces as generalisations of the Riemann zeta function for number-theoretic applications.

Written by an early and continued developer of prehomogeneous vector space theory with active expertise in the field.

Published by the American Mathematical Society as part of the Translations of Mathematical Monographs series.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
06 February 2003
Listed Since
17 December 2006

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