2 citations · 5 across the 11 of their papers we have counts for
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Eigenbasis for a weighted adjacency matrix associated with the projective geometry
Murali K. Srinivasan
In a recent article "Projective geometries, -polynomial structures, and quantum groups" Terwilliger (arXiv:2407.14964) defined a certain weighted adjacency matrix, depending on…
Subspaces, subsets, and Motzkin paths
Jonathan D. Farley, Murali K. Srinivasan
We define a map from subspaces to Motzkin paths and show that the inverse image of every path is a disjoint union of symmetric Boolean subsets yielding an explicit symmetric Boolea…
A q-analog of the adjacency matrix of the n-cube
Subhajit Ghosh, Murali K. Srinivasan
We define a q-analog of the adjacency matrix of the n-cube, determine its eigenvalues and write down a canonical eigenbasis. We give a weighted count of the number of rooted spanni…
The perfect matching association scheme
Murali K. Srinivasan
We revisit the Bose-Mesner algebra of the perfect matching association scheme. Our main results are: 1. An inductive algorithm, based on solving linear equations, to compute the ei…
On the representation theory of
Ashish Mishra, Murali K. Srinivasan
In the Vershik-Okounkov approach to the complex irreducible representations of and we parametrize the irreducible representations and their bases by spectral obje…
The Goldman-Rota identity and the Grassmann scheme
Murali K. Srinivasan
We inductively construct an explicit (common) orthogonal eigenbasis for the elements of the Bose-Mesner algebra of the Grassmann scheme. The main step is a constructive, linear alg…