5 papers
Matching rules from Al-Co potentials in an almost realistic model
Sejoon Lim, M. Mihalkovic, C. L. Henley
We consider a model decagonal quasicrystal of composition AlCo -- closely related to actual structures, and using realistic pair potentials -- on a quasilattice o…
A generalization of the Widder potential transform and applications
Nese Dernek, Veli Kurt, Yilmaz Simsek +1
In the present paper the authors consider the -transform as a generalization of the Widder potential transform and the Glasser transform. The …
Identities for the Hankel transform and their applications
Ahmet Dernek, Nese Dernek, Osman Yurekli
In the present paper the authors show that iterations of the Hankel transform with -transform is a constant multiple of the Widder transform. Using these iteration i…
Whittaker Modules for the Virasoro Algebra
Matthew Ondrus, Emilie Wiesner
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular…
Ext^1-quivers for the Witt algebra W(1,1)
Brian D. Boe, Daniel K. Nakano, Emilie Wiesner
Let g be the finite dimensional Witt algebra W(1,1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W(1,1)-modules are finite dimension…