Spectra and catenarity of multiparameter quantum Schubert cells

@article{Yakimov2011SpectraAC,
  title={Spectra and catenarity of multiparameter quantum Schubert cells},
  author={M. Yakimov},
  journal={arXiv: Rings and Algebras},
  year={2011}
}
  • M. Yakimov
  • Published 2011
  • Mathematics
  • arXiv: Rings and Algebras
  • We study the ring theory of the multiparameter 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 multiparameter 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… CONTINUE READING
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    References

    SHOWING 1-10 OF 60 REFERENCES
    Catenarity in quantum algebras
    • 59
    • Highly Influential
    Quantum double and multiparameter quantum groups
    • 25
    The Prime and the Primitive Spectra of a Quantum Bruhat Cell Translate
    • 26
    • Highly Influential
    On the dimension of H-strata in quantum matrices
    • 16
    • PDF
    Some quantum analogues of solvable Lie groups
    • 70
    • Highly Influential
    • PDF
    The Dixmier-moeglin Equivalence in Quantum Coordinate Rings and Quantized Weyl Algebras
    • E. S. LetzterAbstract
    • 1998
    • 69
    • Highly Influential
    The FRT-Construction via Quantum Affine Algebras and Smash Products
    • 2
    • PDF