Nishu Kumari

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20212025

most citedFactorization of classical characters twisted by roots of unity

10 citations · 12 across the 5 of their papers we have counts for

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math.CO2025

Further results for classical and universal characters twisted by roots of unity

Arvind Ayyer, Nishu Kumari

We revisit factorizations of classical characters under various specializations, some old and some new. We first show that all characters of classical families of groups twisted by…

math.CO2023

A short bijective proof of dimension identities of Erickson and Hunziker

Nishu Kumari

In a recent paper (arXiv:2301.09744), Erickson and Hunziker consider partitions in which the arm-leg difference is an arbitrary constant $m$ . In previous works, these partitions ar…

math.CO2022★ 1 cited

Factorization of classical characters twisted by roots of unity: II

Nishu Kumari

Fix natural numbers $n \geq 1$ , $t \geq 2$ and a primitive $t^{th}$ root of unity $ω$ . In previous work with A. Ayyer (J. Alg., 2022), we studied the factorization of specia…

math.CO2022★ 1 cited

Skew hook Schur functions and the cyclic sieving phenomenon

Nishu Kumari

Fix an integer $t \geq 2$ and a primitive $t^{th}$ root of unity $ω$ . We consider the specialized skew hook Schur polynomial $\text{hs}_{λ/μ}(X,ωX,\dots,ω^{t-1}X/Y,ωY,\dots,…

math.CO2021★ 10 cited

Factorization of classical characters twisted by roots of unity

Arvind Ayyer, Nishu Kumari

For a fixed integer $t \geq 2$ , we consider the irreducible characters of representations of the classical groups of types A, B, C and D, namely $\text{GL}_{tn}, \text{SO}_{2tn+1},…