References
- Jordan C. Essai sur la géométrie à n dimensions [Essay on n-dimensional geometry]. Bull Soc Math France. 1875;3:103–174.
- Afriat SN. Orthogonal and oblique projectors and the characteristics of pairs of vector spaces. In: Mathematical Proceedings of the Cambridge Philosophical Society; Vol. 53. Cambridge: Cambridge University Press; 1957. p. 800–816.
- Galántai A. Subspaces angles and pairs of orthogonal projections. Linear Multilinear Algebra. 2008;56(3):227–260.
- Galántai A, Hegedűs CJ. Jordan's principal angles in complex vector spaces. Numer Linear Algebra Appl. 2006;13(7):589–598.
- Gluck H. Higher curvatures of curves in euclidean space, II. Amer Math Monthly. 1967;74(9):1049–1056.
- Wedin P. On angles between subspaces of a finite dimensional inner product space. In: Kågström B, Ruhe A, editors. Matrix Pencils. Berlin: Springer; 1983. p. 263–285. (Lecture Notes in Mathematics; vol. 973).
- Loring TA. Principal angles and approximation for quaternionic projections. Ann Funct Anal. 2014;5(2):176–187.
- Rodríguez JLV, Brandão TLA, Batista VMO. Principal angles and pairs of totally geodesic submanifolds of the real hyperbolic space. Linear Multilinear Algebra. 2021;70:1–16. DOI:10.1080/03081087.2021.1939256.
- Hitzer E. Angles between subspaces computed in Clifford algebra. AIP Conf Proc. 2010;1281:1476–1479.
- Mandolesi ALG. Blade products in Grassmann and Clifford algebras; 2020. Available from: arxiv:1910.07327.
- Mandolesi ALG. Projection factors and generalized real and complex Pythagorean theorems. Adv Appl Clifford Algebr. 2020;30(3):1–18.
- Wong YC. Differential geometry of Grassmann manifolds. Proc Nat Acad Sci USA. 1967;57:589–594.
- Neretin YA. On jordan angles and the triangle inequality in Grassmann manifolds. Geometriae Dedicata. 2001;86(1):81–91.
- Hotelling H. Relations between two sets of variates. Biometrika. 1936;28(3/4):321–377.
- Nicas AJ. Classifying pairs of Lagrangians in a Hermitian vector space. Topol Appl. 1991;42(1):71–81.
- Rodman L, Gohberg I, Lancaster P. Indefinite linear algebra and applications. 1st ed. Basel, Boston, Berlin: Birkhäuser; 2005.
- Höfer R. m-point invariants of real geometries. Beiträge Algebra Geom. 1999;40(1):261–266.
- Dyson FJ. Quaternion determinants. Helvetica Physica Acta. 1972;45(2):289–302.
- Aslaksen H. Quaternionic determinants. Math Intell. 1996;18(3):57–65.
- Moore E. On the determinant of an Hermitian matrix of quaternionic elements. Bull Amer Math Soc. 1922;28:161–162.
- Alesker S. Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables. Bull Sci Math. 2003;127(1):1–35.
- Greub WH. Linear algebra. 3rd ed. New York: Springer-Verlag New York, Inc.; 1967. (Die grundlehren der mathematischen wissenschaften; Band 97).
- Farenick DR, Pidkowich BAF. The spectral theorem in quaternions. Linear Algebra Appl. 2003;371:75–102.
- Brieskorn E. Lineare algebra und analytische geometrie II: Noten zu einer vorlesung mit historischen anmerkungen von erhard scholz. 1st ed. Braunschweig: Vieweg+Teubner Verlag; 1985.
- Chen SS, Greenberg L. Hyperbolic spaces. In: Contributions to analysis (a collection of papers dedicated to Lipman Bers). New York; 1974. p. 49–87.
- Parker JR. Notes on complex hyperbolic geometry. Preprint; 2003.
- Iversen B. Hyperbolic geometry. New York: Cambridge University Press; 1992. (London Mathematical Society Student Texts).