55 citations · 78 across the 6 of their papers we have counts for
7 papers
Integrable representations of root-graded Lie algebras
Nathan Manning, Erhard Neher, Hadi Salmasian
The essential feature of a root-graded Lie algebra L is the existence of a split semisimple subalgebra g with respect to which L is an integrable module with weights in a possibly…
BGG reciprocity for current algebras
Vyjayanthi Chari, Bogdan Ion
It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the cur…
Global Weyl modules for equivariant map algebras
Ghislain Fourier, Nathan Manning, Alistair Savage
Equivariant map algebras are Lie algebras of algebraic maps from a scheme (or algebraic variety) to a target finite-dimensional Lie algebra (in the case of the current paper, we as…
Global Weyl modules for the twisted loop algebra
Ghislain Fourier, Nathan Manning, Prasad Senesi
We define global Weyl modules for twisted loop algebras and analyze their high- est weight spaces, which are in fact isomorphic to Laurent polynomial rings in finitely many variabl…
BGG reciprocity for current algebras
Matthew Bennett, Vyjayanthi Chari, Nathan Manning
We study the category $\cal I_{\gr}$ of graded representations with finite--dimensional graded pieces for the current algebra $\lie g\otimes\bc[t]$ where $\lie g$ is a simple Lie a…
On Homomorphisms Between Global Weyl Modules
Matthew Bennett, Vyjayanthi Chari, Jacob Greenstein +1
Global Weyl modules for generalized loop algebras $\lie g\tensor A$, where $\lie g$ is a simple finite dimensional Lie algebra and A is a commutative associative algebra were defin…
Square Partitions and Catalan Numbers
Matthew Bennett, Vyjayanthi Chari, R. J. Dolbin +1
For each integer , we define an algorithm which associates to a partition whose maximal value is at most a certain subset of all partitions. In the case when we begin w…