Generalized Heisenberg Groups and the Schrödinger–Weil Representation
Series: Springer Asia Pacific Mathematics Series;
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Product details:
- Publisher Springer Nature Singapore
- Date of Publication 15 July 2026
- ISBN 9789819208142
- Binding Hardback
- No. of pages205 pages
- Size 235x155 mm
- Language English
- Illustrations XV, 205 p. 1 illus. 700
Categories
Long description:
"
This book presents a detailed study of the generalized Heisenberg group, a 2‐step nilpotent Lie group that plays an important role in the theory of smooth compactifications of the Siegel modular variety, number theory, and mathematical physics. The text explicates its connections with theta functions, the Weil representation, and the Schrödinger–Weil representation, emphasizing their structural and conceptual relationships.
Heisenberg groups, theta functions, and the Schrödinger–Weil representation occupy central positions in modern mathematics and mathematical physics. By providing explicit descriptions and clear explanations, this book aims to serve as a valuable resource for researchers working in these areas. The material is intended for both mathematicians and physicists interested in the interplay between representation theory, automorphic forms, and physical models.
" MoreTable of Contents:
Chapter 1 Generalized Heisenberg Groups.- Chapter 2 The Schroedinger-Weil representation.
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