Cayley Transform: The Universal Bridge Across Real, Complex, and Hilbert Spaces
from Intellectually Curious Hosted by Mike Breault
We follow Cayley’s transform from real homographies to complex disk models, mapping skew-symmetric matrices to unitary rotations, extending to quaternions, and finally to operators on Hilbert spaces. A single idea that tames infinity, links Poincaré models, and even finds engineering use in the Smith chart. Note: This podcast was AI-generated, and sometimes AI can make mistakes. Please double-check any critical information. Sponsored by Embersilk LLC
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This episode was published on September 13, 2025.
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