The Cartan Invariant Matrix for the Finite Group G₂(13) of Type G₂

The Cartan invariant matrixfor the finite group G2(13) of type G2 over the finite field with 13 elements is determined in this paper.

Tight Monomials with t-Value ≤ 9 for Quantum Group of Type D₄

All monomials with t-value ≤9 in Canonical basis of quantum group for type D4 are determined in this paper.

Tight Monomials in Quantum Group for Type <i>A</i>₅with <i>t</i>≤ 6

All tight monomials in quantum group for type A5 with t ≤ 6 are determined in this paper.