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Introduction to Prehomogeneous Vector Spaces - Mathematics Book

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Description

Explore the foundational principles of prehomogeneous vector spaces with this essential academic text. As the first introductory book on the subject, it provides a comprehensive look at the theory introduced by Mikio Sato in the 1970s. This volume is written by an early developer of the theory who remains active in the field today. The text bridges multiple mathematical disciplines, making it a valuable resource for researchers and students. It brings together elements from algebraic geometry, Lie groups, analysis, number theory, and invariant theory. By connecting these different areas, the book offers a unified approach to complex mathematical structures. A primary goal of this work is to establish practical applications within number theory. Readers will study key topics such as zeta functions attached to prehomogeneous vector spaces, which serve as generalizations of the Riemann zeta function. This makes the book a necessary addition to any advanced mathematical library focusing on algebra and number theory.

Key Features

First introductory text dedicated to the theory of prehomogeneous vector spaces introduced by Mikio Sato.

Integrates diverse mathematical fields including algebraic geometry, Lie groups, analysis, and invariant theory.

Focuses on practical applications to number theory to provide real-world mathematical utility.

Covers advanced topics like zeta functions that act as generalizations of the Riemann zeta function.

Authored by an early and significant developer of the theory with ongoing expertise in the field.

Part of the respected Translations of Mathematical Monographs series from the American Mathematical Society.

Product Specifications

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

Barcode

No barcode data available

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