2 citations · 2 across the 4 of their papers we have counts for
4 papers
A Hesselink-type formula for the nilpotent cone of Lie algebra representations
Vasily Krylov, Frank Wang
A well-known result of Hesselink gives a formula for the -character of the nilpotent cone of a semisimple Lie algebra in terms of a -analog of the Kostant partition function.…
Approaching Landauer's Bound In A Spin-Encoded Quantum Computer
Frank Zhigang Wang
It is commonly recognized that the Landauer bound holds in (irreversible) quantum operations. In this study, we verified this bound by extracting a single spin from a spin-spin mag…
Toward explicit Hilbert series of quasi-invariant polynomials in characteristic and -deformed quasi-invariants
Frank Wang
We study the spaces of -quasi-invariant polynomials of the symmetric group in characteristic . Using the representation theory of the symmetric group we describe…
The integral shuffle algebra and the -theory of the Hilbert scheme of points in
Frank Wang
We examine the shuffle algebra defined over the ring , also called the integral shuffle algebra, which was found by Schiffmann an…