Tantalizer Algebras and Generalized Lattice Models

Grant number: DP130100674 | Funding period: 2013 - 2016

Completed

Abstract

This project exploits underlying symmetry to characterise components and flow patterns in network configurations. The project will develop tools for analysis and optimisation of systems of interacting nodes which can arise in materials, computing networks, and any social or industrial contexts with communication or product transfer between nodes.

Related publications (5)

THE THICKNESS OF SCHUBERT CELLS AS INCIDENCE STRUCTURES

John Bamberg, Arun Ram, Jon Xu

2020-10-01

This paper explores the possible use of Schubert cells and Schubert varieties in finite geometry, particularly in regard to the qu..

Positive Level, Negative Level and Level Zero

F McGlade, A Ram, Y Yang

2020-01-01

This is a survey on the combinatorics and geometry of integrable representations of quantum affine algebras with a particular focu..

A Fock space model for decomposition numbers for quantum groups at roots of unity

M Lanini, A Ram, P Sobaje

2019-01-01

In this paper we construct an abstract Fock space for general Lie types that serves as a generalization of the infinite wedge q-Fo..

The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials

M Lanini, A Ram

2019-01-01

In this paper we establish a Steinberg-Lusztig tensor product theorem for abstract Fock space. This is a generalization of the typ..

Hurwitz and the origins of random matrix theory in mathematics

P Diaconis, PJ Forrester

2017-01-01

The purpose of this paper is to put forward the claim that Hurwitz's paper [Über die Erzeugung der invarianten durch integration, ..

University of Melbourne Researchers

Arun Ram