N. Bi

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math.RA2015

Eigenvalues of Gram Matrices of a class of Diagram Algebras

N. Karimilla Bi, M. Parvathi

In this paper, we introduce symmetric diagram matrices $A_{s + r, s}$ of size $_{(s + r)} C_{s}$ whose entries are ${x_{i}}_{min {s, r}}$ . We compute the eigenvalues of symmetric diagram…

math.RA2015

Gram Matrices and Stirling numbers of a class of Diagram Algebras

N. Karimilla Bi, M. Parvathi

In this paper, we introduce Gram matrices for the signed partition algebras, the algebra of $Z_{2}$ -relations and the partition algebras. We prove that the Gram matrix is si…