Emiliano Campagnolo's research while affiliated with National University of Cordoba, Argentina and other places
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Publications (4)
We show that every finite GK-dimensional pre-Nichols algebra for braidings of diagonal type with connected diagram of modular, supermodular or unidentified type is a quotient of the distinguished pre-Nichols algebra introduced by the first-named author, up to two exceptions. For both of these exceptional cases, we provide a pre-Nichols algebra that...
We prove that finite GK-dimensional pre-Nichols algebras of super and standard type are quotients of the corresponding distinguished pre-Nichols algebras, except when the braiding matrix is of type super A and the dimension of the braided vector space is three. For these two exceptions we explicitly construct substitutes as braided central extensio...
Citations
... A natural question arises: is the distinguished pre-Nichols algebra eminent? For braided vector spaces of Cartan, super or standard type, that is indeed the case up to very few exceptions, as shown in [10,15]. Here we complete the work, studying (super)modular and unidentified types. ...
![[object Object]](https://i1.rgstatic.net/ii/profile.image/277034275229699-1443061526851_Q64/Ivan-Angiono.jpg)
... Theorem 26. [26,34,35] Let q be a braiding matrix such that dim B q < ∞ and the Dynkin diagram of q is connected. ...
Reference: On infinite-dimensional Hopf algebras
