5 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…
A Newton-Girard Formula for Monomial Symmetric Polynomials
Samuel Chamberlin, Azadeh Rafizadeh
The Newton-Girard Formula allows one to write any elementary symmetric polynomial as a sum of products of power sum symmetric polynomials and elementary symmetric polynomials of le…
On the Structure of a quotient of the global Weyl module for the map superalgebra
Irfan Bagci, Samuel Chamberlin
Let be a commutative, associative algebra with unity over . Using the definition of global Weyl modules for the map superalgebras given by Calixto, Lemay, and Savag…