Geodesic
HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 463-492

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DOI

We discuss the half-liberation operation X → X*, for the algebraic submanifolds of the unit sphere, $X\subset S^{N-1}_\mathbb C$ . There are several ways of constructing this correspondence, and we take them into account. Our main results concern the computation of the affine quantum isometry group G +(X*), for the sphere itself. 
BANICA, TEODOR. HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 463-492. doi: 10.1017/S0017089516000288
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     title = {HALF-LIBERATED {MANIFOLDS} {AND} {THEIR} {QUANTUM} {ISOMETRIES}},
     journal = {Glasgow mathematical journal},
     pages = {463--492},
     year = {2017},
     volume = {59},
     number = {2},
     doi = {10.1017/S0017089516000288},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000288/}
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