Class
Article
College
College of Science
Department
Mathematics and Statistics Department
Faculty Mentor
Andreas Malmendier
Presentation Type
Poster Presentation
Abstract
The complex projective space CPn is the space of lines through the origin in Cn+1 with an equivalence relation defined by Z ~ λZ' for λ ∈ C*. We define the points under the equivalence relation as homogeneous coordinates, represented by [Z0 : Z1 : ... Zn]. Since all Z,sub>i cannot equal zero, we can find a unique set of n coordinates (z1,...,zn) such that [Z0 : Z1 : ... : Zn] ~ [1 : z1 : ... : zn] where zi = Zi\Z0.
Location
Logan, UT
Start Date
4-8-2025 12:30 PM
End Date
4-8-2025 1:20 PM
Included in
Fiber Bundles of the Complex Projective Space and Their Relation to Quantum Physics
Logan, UT
The complex projective space CPn is the space of lines through the origin in Cn+1 with an equivalence relation defined by Z ~ λZ' for λ ∈ C*. We define the points under the equivalence relation as homogeneous coordinates, represented by [Z0 : Z1 : ... Zn]. Since all Z,sub>i cannot equal zero, we can find a unique set of n coordinates (z1,...,zn) such that [Z0 : Z1 : ... : Zn] ~ [1 : z1 : ... : zn] where zi = Zi\Z0.