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math.CO2009
Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables
Francois Bergeron, Aaron Lauve
We analyze the structure of the algebra N of symmetric polynomials in non-commuting variables in so far as it relates to its commutative counterpart. Using the "place-action" of th…
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…