3 citations · 5 across the 7 of their papers we have counts for
7 papers
On classification of finite-dimensional semisimple Hopf algebras
Leonid Krop
We develop a mechanism for classication of isomorphism types of non-trivial semisimple Hopf algebras whose group of grouplikes is abelian of prime index which is the sma…
Isomorphism Types of Hopf Algebras in a Class of Abelian Extensions.I
Leonid Krop
There is no systematic general procedure by which isomorphism classes of Hopf algebras that are extensions of $\k F$ by ${\k}^G$ can be found. We develop the general procedure for…
Trace-like invariant for representations of nilpotent liftings of quantum planes
Andrea Jedwab, Leonid Krop
We derive a formula for the trace of the antipode on endomorphism algebras of simple self-dual modules of nilpotent liftings of quantum planes. We show that the trace is equal to t…
Representations of pointed Hopf algebras and their Drinfel'd quantum doubles
Leonid Krop, David Radford
We study representations of nilpotent type nontrivial liftings of quantum linear spaces and their Drinfel'd quantum doubles. We construct a family of Verma- type modules in both ca…
Representation theory of liftings of quantum planes
William Chin, Leonid Krop
We systematically determine the regular representations, quivers and representation type of all liftings of two-dimensional quantum linear spaces.
Quantized hyperalgebras of rank 1
William Chin, Leonid Krop
We study the algebra obtained via Lusztig's `integral' form [Lu 1, 2] of the generic quantum algebra for the Lie algebra modulo the two-sided ideal generated…