Some Operations on Quaternion Numbers
Bo Li, Xiquan Liang, Pan Wang, Yanping Zhuang (2009)
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In this article, we give some equality and basic theorems about quaternion numbers, and some special operations.
Bo Li, Xiquan Liang, Pan Wang, Yanping Zhuang (2009)
Formalized Mathematics
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In this article, we give some equality and basic theorems about quaternion numbers, and some special operations.
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1. Motivation. Let J₀(N) denote the Jacobian of the modular curve X₀(N) parametrizing pairs of N-isogenous elliptic curves. The simple factors of J₀(N) have real multiplication, that is to say that the endomorphism ring of a simple factor A contains an order in a totally real number field of degree dim A. We shall sometimes abbreviate "real multiplication" to "RM" and say that A has maximal RM by the totally real field F if A has an action of the full ring of integers of F. We...
R. Berr, Françoise Delon, J. Schmid (1999)
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