Density of eigenvalues of random normal matrices

Multistrand Eigenvalue conjecture and Racah symmetries

Racah matrices of quantum algebras are of great interest at present time. These matrices have a relation with $\mathcal{R}$-matrices, which are much simpler than the Racah matrices themselves. This relation is known as the eigenvalue conjecture. In this paper we study symmetries of Racah matrices which follow from the eigenvalue conjecture for multistrand braids.

具有两个特征值的单射R矩阵的分类问题

The classification problem for unitary R-Matrices with two eigenvalues

本文研究了任意有限维空间中具有恰好两个不同特征值的单射R矩阵的分类问题，通过考虑其辫群表示的字符等价关系，得到了完整的分类定理，除了可能存在的偶数维情况外。