Representation theory of liftings of quantum planes (2007)
We systematically determine the regular representations, quivers and representation type of all liftings of two-dimensional quantum linear spaces.
Special biserial coalgebras and representations of quantum SL(2) (2006)
We develop the theory of special biserial and string coalgebras and other concepts from the representation theory of quivers. These theoretical tools are then used to describe the finite dimensional...
Local theory of almost split sequences for comodules (2005)
Chin, William, Kleiner, Mark, Quinn, Declan
We show that almost split sequences in the category of comodules over a coalgebra with finite-dimensional right-hand term are direct limits of almost split sequences over finite dimensional...
Bialgebras and Realizations (2004)
R. L. Grossman, R. G. Larson, This Robert, L. Grossman, Stefan Catoiu, William Chin
this paper we consider when a linear functional on a bialgebra is realized by the action of the bialgebra on a finite object. This depends on whether the action of the bialgebra on the functional is...
Spectra of quantized hyperalgebras (2004)
We describe the prime and primitive spectra for quantized enveloping algebras at roots of 1 in characteristic zero in terms of the prime spectrum of the underlying enveloping algebra. For primitive...
Quantized hyperalgebras of rank 1 (2004)
We study the algebra $U_{\zeta}$ obtained via Lusztig's `integral' form [Lu 1, 2] of the generic quantum algebra for the Lie algebra $\frak {g=sl}_2$ modulo the two-sided ideal generated by $K^l-1$....
Linear Cellular Automata With Boundary Conditions (2000)
William Chin, Barbara Cortzen, Jerry Goldman
this paper, we generalize the notion of a linear cellular automaton by viewing the state transition function abstractly as an endomorphism acting upon a module of states. This generalizes the...
The effects of race, gender, and survey methodologies on giving in the US
Rooney, Patrick M., Mesch, Debra J., Chin, William, Steinberg, Kathryn S.
Five waves of the Panel Study of Income Dynamics (PSID), 1985-1989 including both wealth supplements, are used to construct an intertemporal budget constraint for selected single headed households. A...
Five waves of the Panel Study of Income Dynamics (PSID), 1985-1989 including both wealth supplements, are used to construct an intertemporal budget constraint for selected single headed households. A...