Please use this identifier to cite or link to this item:
|Title:||Algorithmic enumeration of quaternionic lattices|
|Abstract:||In this thesis, we develop and implement an algorithm in Magma for enumerating isometry classes of quaternionic lattices. This algorithm can be viewed as a higher rank generalization of that used for enumerating equivalence classes of left-ideals of quaternionic orders. Our key technical innovation is an adaptation of Kneser’s method of neighbours to the setting of quaternionic lattices. Central to this adaptation is the Morita equivalence between Hermitian spaces over the split quaternion algebra M2(F) and symplectic spaces over F.|
|Appears in Collections:||Electronic Theses|
Files in This Item:
|ucalgary_2014_chisholm_sarah.pdf||503.72 kB||Adobe PDF||View/Open|
Items in The Vault are protected by copyright, with all rights reserved, unless otherwise indicated.