3 papers
math.CO2007
A note on the Markoff condition and central words
Amy Glen, Aaron Lauve, Franco V. Saliola
We define Markoff words as certain factors appearing in bi-infinite words satisfying the Markoff condition. We prove that these words coincide with central words, yielding a new ch…
math.RA2004
NSym into Q_{\infty} is not a Hopf Map
Aaron Lauve
There is a natural algebra map (in fact, embedding) from the noncommutative symmetric functions NSym to the quadratic algebra Q_{\infty} of pseudoroots of polynomials. In this note…
math.QA2004
Quantum- and Quasi-Plucker Coordinates
Aaron Lauve
We demonstrate a passage from the "quasi-Plucker coordinates" of Gelfand and Retakh, to the quantum Plucker coordinates built from q-generic matrices. In the process, we rediscover…