Articles liés à Lecture Notes on Ni Theta Functions

Lecture Notes on Ni Theta Functions - Couverture souple

Auslander, L.

 
9780821816844: Lecture Notes on Ni Theta Functions
Couverture souple
ISBN 10 : 0821816845 ISBN 13 : 9780821816844
Editeur : American Mathematical Society, 1977

Synopsis

This monograph consists of three chapters covering the following topics: Foundations, Bilinear forms and presentations of certain 2-step nilpotent Lie groups, Discrete subgroups of the Heisenberg group, The automorphism group of the Heisenberg group, Fundamental unitary representations of the Heisenberg group, The Fourier transform and the Weil-Brezin map, Distinguished subspaces and left action: Jacobi theta functions and the finite Fourier transform, Nil-theta functions and Jacobi-theta functions, and the algebra of the finite Fourier transform; Abelian varieties, nil-theta and theta functions.It includes: a general construction and algebraic foundations, Nil-theta functions associated with a positive definite H-morphism of an Abelian variety, and the relation between nil-theta and classical theta functions. In presenting the material, the author has attempted to lay a careful foundation and has stressed low-dimensional examples and special computations when proving general results by general techniques. This an expository piece of work, although some of the results are new.

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Éditeur
American Mathematical Society
Date d'édition
1977
Langue
anglais
ISBN 10 
0821816845
ISBN 13 
9780821816844
Reliure
Broché
Nombre de pages
96
Coordonnées du fabricant
non disponible
Personne responsable
non disponible