49 citations · 53 across the 8 of their papers we have counts for
8 papers
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…
Decomposition of the regular representation for dihedral quandles
Mohamed Elhamdadi, Prasad Senesi, Emanuele Zappala
We decompose the regular quandle representation of a dihedral quandle into irreducible quandle subrepresentations.
The Euclidean geometry of cardinal welfare functions
Tim Ridenour, Prasad Senesi
We exploit the standard inner product of Euclidean space to provide a new direction from which one can understand and analyze certain voting methods. Using this perspective along w…
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…