-
Recent Posts
- Exterior algebra 2026/01/18
- Kronecker generalized deltas and Levi-Civita epsilons 2026/01/09
- It’s all about permutations 2025/12/28
- Densities 2025/12/21
- 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
- Geodesics of left invariant metrics on matrix Lie groups – Part 1 2017/05/24
- Killing vectors, geodesics, and Noether’s theorem 2017/05/23
- SL2R as anti de Sitter space cont. 2017/05/15
- Becoming anti de Sitter 2017/05/14
- SL(2,R) Killing vector fields in coordinates 2017/05/11
- Riemannian metrics – left, right and bi-invariant 2017/05/09
- Riemannian metric on SL(2,R)- explicit formula 2017/05/08
- Riemannian metric on SL(2,R) 2017/05/07
- Parametrization of SL(2,R) 2017/05/06
- Curvature of the upper half-plane 2017/05/05
- Geodesics on upper half-plane factory direct 2017/05/04
- Einstein the Stubborn 2017/05/03
- Dedekind tessellation on the Poincaré disk 2017/05/02
- Dedekind tessellation or circles all the way down 2017/04/30
- Real magic – space-time in Lie algebra 2017/04/29
Recent Comments
- Anna on Exterior algebra
- Anna on Exterior algebra
- arkajad on Exterior algebra
Links
Posts
February 2026 M T W T F S S 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Categories
- AI
- Attitude matrix
- Compactified Minkowski space
- Conformal structure
- Dzhanibekov effect
- Elliptic functions
- Euler's equations
- General
- Geometry
- Hyperbolic geometry
- Linear Algebra
- Lorentz transforations
- Mathematica
- Moments of inertia
- Nauka (science)
- Nonlinear pendulum
- Philosophy
- Poinsot trajectories
- Quaternions
- Special relativity
- Spin and rotations
- Spin matrices
- Stereographic projection
- SU(1,1)
- Teoria względności szczególna
- Time (czas)
- Uncategorized
- Unconventional science
Archives
Open System – Ark's blog
Category Archives: Linear Algebra
Exterior algebra
Geometric algebra was not born in an ivory tower; it grew out of three very human lives, each marked by faith, doubt, and an almost mystical hunger for structure. The quiet mystic: Grassmann Hermann Grassmann was a provincial schoolteacher, … Continue reading
Posted in Linear Algebra
Tagged exterior algebra, Hermann Grassmann, Marian Fecko, wedge product
5 Comments
Kronecker generalized deltas and Levi-Civita epsilons
My last post “It’s all about permutations” was a complete failure. Really very bad. I copied, without much thinking, some formulas from “Mathematical Handbook For Scientists And Engineers“, Granino A. Korn and Theresa M. Korn, Dover 2000, and it was … Continue reading
Posted in Linear Algebra
Tagged determinant, Kronecker generalized delta, Levi-Civita symbol
17 Comments
It’s all about permutations
Permutations appear whenever “things are the same, but in a different order.” That simple idea hides a powerful engine that underlies physics, geometry, information, and even the notion of identity itself. In quantum mechanics, identical particles do not carry little … Continue reading
