Lecture Notes in Mathematics

Proskurin, Nikolai

The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.

Details

Published by: Springer

Publication Date: 1998-01-19

Format: Paperback

ISBN-13: 9783540637516

DOI: 10.1007/BFb0093533

Dimensions: 235cm x155cm

Pages: 200