GENERALISED QUANTUM DETERMINANTAL RINGS ARE MAXIMAL ORDERS
Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 515-525
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Generalised quantum determinantal rings are the analogue in quantum matrices of Schubert varieties. Maximal orders are the noncommutative version of integrally closed rings. In this paper, we show that generalised quantum determinantal rings are maximal orders. The cornerstone of the proof is a description of generalised quantum determinantal rings, up to a localisation, as skew polynomial extensions.
LENAGAN, T. H.; RIGAL, L. GENERALISED QUANTUM DETERMINANTAL RINGS ARE MAXIMAL ORDERS. Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 515-525. doi: 10.1017/S001708952000035X
@article{10_1017_S001708952000035X,
author = {LENAGAN, T. H. and RIGAL, L.},
title = {GENERALISED {QUANTUM} {DETERMINANTAL} {RINGS} {ARE} {MAXIMAL} {ORDERS}},
journal = {Glasgow mathematical journal},
pages = {515--525},
year = {2021},
volume = {63},
number = {3},
doi = {10.1017/S001708952000035X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708952000035X/}
}
TY - JOUR AU - LENAGAN, T. H. AU - RIGAL, L. TI - GENERALISED QUANTUM DETERMINANTAL RINGS ARE MAXIMAL ORDERS JO - Glasgow mathematical journal PY - 2021 SP - 515 EP - 525 VL - 63 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S001708952000035X/ DO - 10.1017/S001708952000035X ID - 10_1017_S001708952000035X ER -
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