a ernl - 01 Deter
نویسنده
چکیده
The classical matrix groups are of fundamental impor tance in many parts of geometry and algebra. Some of them, like Sp(n), are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, we must reconsider some as pects of linear algebra. In particular, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many people have given different definitions. In this article I will discuss some of these. Let us first briefly recall some basic facts about quater nions. The quaternions were discovered on October 16, 1843 by Sir William Rowan Hamilton. (For more on the history, I recommend [19t [31L [47L and [48].) They form a noncommutative, associative algebra over IR:
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