Half-liberated real spheres and their subspaces

TL;DR

This paper explores the quantum subspaces of half-liberated real spheres, establishing a correspondence with conjugation-stable closed subspaces of complex projective spaces, advancing understanding of quantum symmetries.

Contribution

It provides a detailed description of quantum subspaces of half-liberated real spheres and links them to classical geometric structures, revealing new connections in quantum geometry.

Findings

Bijection between symmetric quantum subspaces and conjugation-stable closed subspaces of complex projective spaces

Characterization of quantum subspaces of half-liberated real spheres

Insight into the structure of quantum symmetries in noncommutative geometry

Abstract

We describe the quantum subspaces of Banica-Goswami's half-liberated real-spheres, showing in particular that there is a bijection between the symmetric ones and the conjugation stable closed subspaces of the complex projective spaces.