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Full Set of Invariants Characterizing Sp(n)-Orbits in Real Grassmannians GR(k, 4n)

Offered By: HyperComplex Seminar via YouTube

Tags

Linear Algebra Courses Vector Spaces Courses Symplectic Geometry Courses Grassmannians Courses

Course Description

Overview

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Explore a comprehensive lecture on the determination of invariants for Sp(n)-orbits in real Grassmannians GR(k, 4n). Delve into the mathematical foundations of Hermitian quaternionic structures, hypercomplex structures, and isoclinic subspaces. Learn about the canonical I-decomposition of subspaces and its role in characterizing Sp(n)-orbits. Discover how principal angles and cosines of special vector pairs contribute to the full set of invariants for k-dimensional subspaces in GR(k, 4n). Gain insights into the application of these concepts in complex geometry and symplectic group theory.

Syllabus

M. Vaccaro, Full set of invariants characterizing Sp(n)-orbits in the real Grassmannians GR(k, 4n)


Taught by

HyperComplex Seminar

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