S. Mulay

collaborators

4 papers

cond-mat.mes-hall2018

An Algebraic Approach to Electron Interactions in Quantum Hall Systems

S. B. Mulay, J. J. Quinn, M. A. Shattuck

Let $m$ denote the number of quasielectrons (QEs) in a quantum Hall system containing $N$ particles altogether. We show in several general cases that for systems containing $m$ QEs…

math.AC2018

Semi-invariants of binary forms and symmetrized graph-monomials

Shashikant Mulay

This article provides a method for constructing invariants and semi-invariants of a binary $N$ -ic form over a field $k$ characteristics $0$ or $p > N$ . A practical and broadly appl…

cond-mat.mes-hall2018

An algebraic approach to FQHE variational wave functions

S. B. Mulay, J. J. Quinn, M. A. Shattuck

Consider a system of $N$ electrons projected onto the lowest Landau level (LLL) with filling factor of the form $n / (2 p n \pm 1) < 1/2$ and $N$ a multiple of $n$ . We show that there alwa…

math.CO2018

Statistics on Multisets

Shashikant Mulay, Carl Wagner

We offer a new proof that a certain q-analogue of multinomial coeffi- cients furnishes a q-counting of the set of permutations of an associated multiset of positive integers, accor…