Theta Functions and Kubota Homomorphisms for the Symplectic Group Over the Gaussian Integers |
Contents
Symplectic Theta Functions and the Plücker Coordinates | 4 |
Sp2n Qi and the Quaternionic Upper Half Space | 24 |
The Theta Function on Sp2n Qi and Its Transformation Formula | 33 |
1 other sections not shown
Common terms and phrases
brary Bump C-¹D CALIFORNIA/SANTA CRUZ Library CALIFORNIA/SANTA CRUZ UNIVERSITY Chapter characteristic polynomial choices of square columns i1 commutes congruence subgroup coprime CRUZ The Unive CRUZ The University defined Det(CZ Dirichlet's theorem eighth root embedded explicit formula formula for x(M Friedberg and Hoffstein Hence homomorphisms of Kubota integral invertible matrix KUBOTA HOMOMORPHISMS LEMMA Library The University m₁ Özlem Erverdi İmamoğlu parametrize the coset Plücker coordinates positive definite Proof PROPOSITION quadratic residue symbol quaternionic upper half Re(A Re(aẞ root of unity Siegel upper half signature of D-¹C SITY OF CALIFORNIA/SANTA square root Styer's subgroup of Sp(4 symmetric matrix symplectic group symplectic theta function theorem 2.9 theta multiplier transformation formula U₂W Unive UNIVERSITY University Library UNIVERS University Library UNIVERSITY UNIVERSITY OF CALIFORNIA UNIVERSITY OF CALIFORNIA/SANTA upper half space V₂ V₂¹ X+C-¹D X₁