Alexandru Chirvăsitu

Generically constrained quantum isotropy

Let V be a finite-dimensional unitary representation of a compact quantum group \mathrm{G} and denote by \mathrm{G}_{W} the isotropy subgroup of a linear subspace W\le V regarded as a point in the Grassmannian \mathbb{G}(V) . We show that the space of those W\in \mathbb{G}(V) for...

Orbit misbehavior, isotropy discontinuity, and large isotypic components

Let G be a compact Hausdorff group acting on a compact Hausdorff space X, α an irreducible G-representation, and C(X) the C∗-algebra of complex-valued continuous functions on X. We prove that the isotypic component C(X)α is finitely generated as a module over the invariant subalg...