N. Bi

collaborators

4 papers

math.CO2017

Residues modulo powers of two in the Young-Fibonacci lattice

N. Karimilla Bi, Amritanshu Prasad, P. Giftson Santhosh

We study the subgraph of the Young-Fibonacci graph induced by elements with odd $f$ -statistic (the $f$ -statistic of an element $w$ of a differential graded poset is the number of s…

math.RT2015

Cellularity of a Larger Class of Diagram Algebras

N. Karimilla Bi

In this paper, we realize the algebra of $Z_{2}$ -relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras…

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…