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math.QA2018
Hopf algebras of prime dimension in positive characteristic
Siu-Hung Ng, Xingting Wang
We prove that a Hopf algebra of prime dimension over an algebraically closed field, whose characteristic is equal to , is either a group algebra or a restricted universal en…
math.RA2018
The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra
Jason Bell, Xingting Wang, Daniel Yee
Let be a field and let be a left noetherian -algebra. The algebra satisfies the Dixmier-Moeglin equivalence if the annihilators of irreducible representations are pr…
math.QA2018
Gelfand-Kirillov dimension of cosemisimple Hopf algebras
Alexandru Chirvasitu, Chelsea Walton, Xingting Wang
In this note, we compute the Gelfand-Kirillov dimension of cosemisimple Hopf algebras that arise as deformations of a linearly reductive algebraic group. Our work lies in a purely…