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- Spectral family and resolution of the identity 2026/06/25
- Square root lemma 2026/06/17
- Positive operators II 2026/06/11
- Positive operators I 2026/06/04
- Complexification of a Real Krein Space. Part I 2026/06/01
- Pre-Hilbert space – its Dual and Completion 2026/05/29
- Fundamental Symmetries in Minkowski Krein Space 2026/05/20
- Krein spaces – a quantum-theoretical monad method 2026/05/12
- Krein spaces – first steps 2026/05/09
- Counting infinities 2026/05/03
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- Recovery 2026/03/22
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- Kronecker generalized deltas and Levi-Civita epsilons 2026/01/09
- It’s all about permutations 2025/12/28
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- Tensors on a picnic 2025/12/14
- Tensors are geometric objects 2025/12/10
- Conformal structure – until the puppy grows up 2025/12/07
- Growing Out of the Sandbox 2025/12/02
- Blog reincarnation with analytic idealism 2025/11/30
- Minkowski patches in the Einstein universe 2025/11/27
- Floating in the Einstein Universe 2025/11/24
- Comments on Clifford algebras 2019/01/24
- Comment on “Could ordinary quantum mechanics be just fine for all practical purposes?” by Alexey Nikulov 2018/03/08
- Spinning Top – Space Odity 2017/05/28
- Geodesics of left invariant metrics on matrix Lie groups – Part 2 Conservation laws 2017/05/26
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Category Archives: Quaternions
Complexification of a Real Krein Space. Part I
Introduction There is a rather unusual journal called the Journal of Humanistic Mathematics. It aims to provide an open forum for academic and informal discussions of the “human face of mathematics,” focusing on aesthetic, cultural, historical, literary, pedagogical, philosophical, psychological, … Continue reading
Real magic – space-time in Lie algebra
We start with a partial recall of events as they transpired so far. A month ago we became hyperbolic. The post Getting hyperbolic started with this sentence: Without knowing it, during the last three posts (Our first field expedition, Our … Continue reading
Posted in Hyperbolic geometry, Quaternions, SU(1,1)
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Attitude matrix and quaternion path for m>1
I noticed that somehow I did not finish with the case So today, without further ado, I am posting the algorithm. We have the body with and we are considering the case with , where is, as always, the ratio … Continue reading
