24 citations · 35 across the 16 of their papers we have counts for
7 papers · 1 filter
Frobenius algebras of corepresentations: gradings
Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu
We consider Frobenius algebras in the monoidal category of right comodules over a Hopf algebra . If is a group Hopf algebra, we study a more general Frobenius type property…
Path subcoalgebras, finiteness properties and quantum groups
Sorin Dascalescu, M. C. Iovanov, Constantin Nastasescu
We study subcoalgebras of path coalgebras that are spanned by paths (called path subcoalgebras) and subcoalgebras of incidence coalgebras, and propose a unifying approach for these…
On the dimension of the space of integrals on coalgebras
S. Dăscălescu, C. Năstăsescu, B. Toader
We study the injective envelopes of the simple right -comodules, and their duals, where is a coalgebra. This is used to give a short proof and to extend a result of Iovanov…
Symmetric coalgebras
F. Castaño Iglesias, S. Dascalescu, C. Nastasescu
We construct a structure of a ring with local units on a co-Frobenius coalgebra. We study a special class of co-Frobenius coalgebras whose objects we call symmetric coalgebras. We…
Hopf algebras of dimension 14
M. Beattie, S. Dăscălescu
Let H be a finite dimensional non-semisimple Hopf algebra over an algebraically closed field k of characteristic 0. If H has no nontrivial skew-primitive elements, we find some bou…
Lifting of Nichols Algebras of Type , with an Appendix: A generalization of the q-binomial theorem
Margaret Beattie, Sorin Dăscălescu, Serban Raianu +1
We compute liftings of the Nichols algebra of a Yetter-Drinfeld module of Cartan type subject to the small restriction that the diagonal elements of the braiding matrix are p…