Quaternionic determinants
Copyright policy )Quaternionic determinants
Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these. Namely: Definitions by W. R. Hamilton, A. Cayley, E. Study, J. Diedonné and E. H. Moore.
- National University of Singapore Libraries Singapore
- National University of Singapore Singapore
Matrices over special rings (quaternions, finite fields, etc.), quaternionic matrices, Determinants, permanents, traces, other special matrix functions, matrix groups, determinant
Matrices over special rings (quaternions, finite fields, etc.), quaternionic matrices, Determinants, permanents, traces, other special matrix functions, matrix groups, determinant
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).132 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!