Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Symmetry

DOI: 10.3390/sym16111458

Authors: Jeong-Yup Lee, Dong-il Lee

Institutions: Catholic Kwandong University, Seoul Women's University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funders: Seoul Women`s University, National Research Foundation of Korea