49 citations · 53 across the 8 of their papers we have counts for
6 papers · 1 filter
On the representation theory of cyclic and dihedral quandles
Mohamed Elhamdadi, Prasad Senesi, Emanuele Zappala
Quandle representations are homomorphisms from a quandle to the group of invertible matrices on some vector space taken with the conjugation operation. We study certain families of…
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…
Irreducible finite-dimensional representations of equivariant map algebras
Erhard Neher, Alistair Savage, Prasad Senesi
Suppose a finite group acts on a scheme X and a finite-dimensional Lie algebra g. The corresponding equivariant map algebra is the Lie algebra M of equivariant regular maps from X…
Finite-dimensional representation theory of loop algebras: a survey
Prasad Senesi
We survey some important results concerning the finite--dimensional representations of the loop algebra of a simple complex Lie algebra, and their twisted loop subalgebras. In part…
A block decomposition of finite-dimensional representations of twisted loop algebras
Prasad Senesi
In this paper we consider the category of F^σof finite-dimensional representations of a twisted loop algebra corresponding to a finite-dimensional Lie algebra with non-trivial diag…
Weyl modules for the twisted loop algebras
Vyjayanthi Chari, Ghislain Fourier, Prasad Senesi
The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here to the twisted affine algebras. We describe an identification of the Weyl module…