Gröbner–Shirshov Bases for Temperley–Lieb Algebras of Type F
For the Temperley–Lieb algebras of type Fn with n≥4, we construct their Gröbner–Shirshov bases. Explicitly, the corresponding finite sets consisting of the standard monomials of type Fn, which are exactly the fully commutative elements of Fn, are enumerated when n = 4, 5, and 6.
Authors
- Dong-il Lee (ORCID: https://orcid.org/0000-0002-5245-9820)
- Jeong-Yup Lee (ORCID: https://orcid.org/0000-0002-3587-0992)
Institutions
- Catholic Kwandong University (KR)
- Seoul Women's University (KR)
Publication Details
- Journal
- Symmetry
- Published
- 2024-11-03
- DOI
- https://doi.org/10.3390/sym16111458
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Seoul Women`s University