Mariana Pereira's Homepage

Research

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My main research interest are in Hopf Algebras, Representation Theory and Computational Algebra.

Publications

  • Factorization of simple modules for certain pointed Hopf Algebras. Journal of Algebra 318 (2007) 957-980

Preprints

Notes

I wrote a summary of the correspondence between the simple uq(sl3)-modules that appeared in an article by Dobrev (Representations of Quantum Groups, Symmetries in Science V) and those described using Radford's method that appear in Factorization of simple modules for certain pointed Hopf Algebras. (Journal of Algebra 318).

Codes

I wrote some codes for the Computational Algebra System SINGULAR::PLURAL to compute dimensions and bases of simple modules for two-parameter quantum group (of type A). Details on the Teory can be found on my Ph.D Thesis.

  • Simple modules for quotients of ur,s(sl3): The explanation can be found in the third chapter of my Phd.D Thesis. Code