The Degree of Stiefel Manifolds
arXiv:1909.10085 · doi:10.54550/ECA2021V1S3R20
Abstract
We compute the degree of Stiefel manifolds, that is, the variety of orthonormal frames in a finite dimensional vector space. Our approach employs techniques from classical algebraic geometry, algebraic combinatorics, and classical invariant theory.
24 pages, Final version accepted in ECA