Geodesic
SPECTRA AND CATENARITY OF MULTI-PARAMETER QUANTUM SCHUBERT CELLS*
Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 169-194

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DOI

We study the ring theory of the multi-parameter deformations of the quantum Schubert cell algebras obtained from 2-cocycle twists. This is a large family, which extends the Artin–Schelter–Tate algebras of twisted quantum matrices. We classify set theoretically the spectra of all such multi-parameter quantum Schubert cell algebras, construct each of their prime ideals by contracting from explicit normal localizations and prove formulas for the dimensions of their Goodearl–Letzter strata for base fields of arbitrary characteristic and all deformation parameters that are not roots of unity. Furthermore, we prove that the spectra of these algebras are normally separated and that all such algebras are catenary.
DOI : 10.1017/S0017089513000578
Mots-clés : Primary 16W35, Secondary 20G42, 14M15 
YAKIMOV, MILEN. SPECTRA AND CATENARITY OF MULTI-PARAMETER QUANTUM SCHUBERT CELLS*. Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 169-194. doi: 10.1017/S0017089513000578
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     title = {SPECTRA {AND} {CATENARITY} {OF} {MULTI-PARAMETER} {QUANTUM} {SCHUBERT} {CELLS*}},
     journal = {Glasgow mathematical journal},
     pages = {169--194},
     year = {2013},
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     number = {A},
     doi = {10.1017/S0017089513000578},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000578/}
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