4 papers
Weyl modules and Weyl functors for hyper-map algebras
Angelo Bianchi, Samuel Chamberlin
We investigate the representations of the hyperalgebras associated to the map algebras , where is any finite-dimensional complex simple…
An Integral Basis for the Universal Enveloping Algebra of the Onsager Algebra
Angelo Bianchi, Samuel Chamberlin
We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening ide…
Finite-dimensional representations of hyper multicurrent and multiloop algebras
Angelo Bianchi, Samuel Chamberlin
We investigate the categories of finite-dimensional representations of multicurrent and multiloop hyperalgebras in positive characteristic, i.e., the hyperalgebras associated to th…
Identities and isomorphisms of finite-dimensional graded simple algebras
Angelo Bianchi, Diogo Diniz
Let be an algebraically closed field, be an abelian group, and let and be arbitrary finite-dimensional -graded simple algebras over . We prove…