Hilbert Space Representations of Cross Product Algebras
Abstract
Hilbert space representations of cross product *-algebras of the Hopf *-algebras Uq(gl2) with the coordinate algebras O(C2q) and O(R3q) of quantum vector spaces and Uq(su2) with coordinate algebras O(SUq(2)) and O(S2q) of corresponding quantum spheres are investigated and classified. Invariant states on the coordinate *-algebras are described by two variants of the quantum trace.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.