EXAMPLE OF A GROUP WHOSE QUANTUM ISOMETRY GROUP DOES NOT DEPEND ON THE GENERATING SET
Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 1-11
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In this paper, we have shown that the quantum isometry group of Cr*(Z), denoted by Q(Z, S) as in Goswami and Mandal, Rev. Math. Phys.29(3) (2017), 1750008, with respect to a symmetric generating set S does not depend on the generating set S. Moreover, we have proved that the result is no longer true if the group Z is replaced by $\underbrace{\mathbb{Z} \times \mathbb{Z} \times\cdots \times \mathbb{Z}}_{n \ copies} \ \forall \ n>1$.
MANDAL, ARNAB. EXAMPLE OF A GROUP WHOSE QUANTUM ISOMETRY GROUP DOES NOT DEPEND ON THE GENERATING SET. Glasgow mathematical journal, Tome 61 (2019) no. 1, pp. 1-11. doi: 10.1017/S0017089517000386
@article{10_1017_S0017089517000386,
author = {MANDAL, ARNAB},
title = {EXAMPLE {OF} {A} {GROUP} {WHOSE} {QUANTUM} {ISOMETRY} {GROUP} {DOES} {NOT} {DEPEND} {ON} {THE} {GENERATING} {SET}},
journal = {Glasgow mathematical journal},
pages = {1--11},
year = {2019},
volume = {61},
number = {1},
doi = {10.1017/S0017089517000386},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000386/}
}
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%0 Journal Article %A MANDAL, ARNAB %T EXAMPLE OF A GROUP WHOSE QUANTUM ISOMETRY GROUP DOES NOT DEPEND ON THE GENERATING SET %J Glasgow mathematical journal %D 2019 %P 1-11 %V 61 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089517000386/ %R 10.1017/S0017089517000386 %F 10_1017_S0017089517000386
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