DUAL PRESENTATION AND LINEAR BASIS OF THE TEMPERLEY-LIEB ALGEBRAS
DUAL PRESENTATION AND LINEAR BASIS OF THE TEMPERLEY-LIEB ALGEBRAS
The braid group <TEX>$B_n$</TEX> maps homomorphically into the Temperley-Lieb algebra <TEX>$TL_n$</TEX>. It was shown by Zinno that the homomorphic images of simple elements arising from the dual presentation of the braid group <TEX>$B_n$</TEX> form a basis for the vector space underlying the Temperley-Lieb algebra <TEX>$TL_n$</TEX>. In this paper, we establish …