2 citations · 2 across the 7 of their papers we have counts for
9 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…
Bases for the Global Weyl modules of of highest weight
Samuel Chamberlin, Amanda Croan
We utilize a theorem of B. Feigin and S. Loktev to give explicit bases for the global Weyl modules for the map algebras of the form of highest weight $mω…
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…
Integral Bases for the Universal Enveloping Superalgebras of Map Superalgebras II
Irfan Bagci, Samuel Chamberlin
In this paper we define integral forms for the universal enveloping superalgebras of the map superalgebras of Cartan type complex Lie superalgebras, and exhibit explicit integral b…
Integral bases for the universal enveloping algebras of map superalgebras
Irfan Bagci, Samuel Chamberlin
Let be a finite dimensional complex simple classical Lie superalgebra and be a commutative, associative algebra with unity over . In this paper we de…
Integral Bases for the Universal Enveloping Algebras of Map Algebras
Samuel H. Chamberlin
Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this…