Magma

MAGMA Computational Algebra System

Magma
 •  How to get it
 •  Download
 •  Online Demo
 
Resources
 •  Online Help
 •  Discovering Mathematics with Magma
 •  Citations
 •  How to cite Magma
 •  Links
 •  Contact us
 
[Next][Prev] [Right] [Left] [Up] [Index] [Root]

Predicates on Algebras

A quaternion algebra A over a number field F with [F:Q]=h is definite (or totally definite) if F is totally real and A tensor Q R isomorphic to Hh where H is the division ring of real Hamiltonians, and otherwise A is indefinite.

IsDefinite(A) : AlgQuat[FldAlg] -> BoolElt
IsDefinite(A) : AlgQuat[FldRat] -> BoolElt
IsIndefinite(A) : AlgQuat[FldAlg] -> BoolElt
IsIndefinite(A) : AlgQuat[FldRat] -> BoolElt
Given a quaternion algebra A over a number field or Q, returns true if and only if A is a totally definite or indefinite quaternion algebra, respectively.
 [Next][Prev] [Right] [Left] [Up] [Index] [Root]
                       

Version: V2.16 of Mon Nov 16 15:04:45 EST 2009

Valid HTML 4.01! Valid CSS!