Gröbner–Shirshov Bases for Temperley–Lieb Algebras of Type F.

For the Temperley–Lieb algebras of type F n with n ≥ 4 , we construct their Gröbner–Shirshov bases. Explicitly, the corresponding finite sets consisting of the standard monomials of type F n , which are exactly the fully commutative elements of F n , are enumerated when n = 4, 5, and 6. [ABSTRACT FROM AUTHOR]