Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Kumari, Nishu"'
Autor:
Kumari, Nishu, Stokke, Anna
We establish new Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions. The classical Murnaghan--Nakayama rule expresses the product of a power sum symmetric function with a Schur function as a linear combination of
Externí odkaz:
http://arxiv.org/abs/2411.11447
Autor:
Ghosh, Subhajit, Kumari, Nishu
The transpose top-$2$ with random shuffle (J. Theoret. Probab., 2020) is a lazy random walk on the alternating group $A_n$ generated by $3$-cycles of the form $(\star,n-1,n)$ and $(\star,n,n-1)$. We obtain the limit profile of this random walk by com
Externí odkaz:
http://arxiv.org/abs/2407.19878
Autor:
Kumari, Nishu
We prove a new determinantal formula for the characters of irreducible representations of orthosymplectic Lie superalgebras analogous to the formula developed by Moens and Jeugt (J. Algebraic Combin., 2003) for general linear Lie superalgebras. Our p
Externí odkaz:
http://arxiv.org/abs/2401.01723
Autor:
Kumari, Nishu
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 are called $(-m)$-asymmetric partitions. Regarding these partitions and
Externí odkaz:
http://arxiv.org/abs/2305.07806
Autor:
Kumari, Nishu
Fix natural numbers $n \geq 1$, $t \geq 2$ and a primitive $t^{\text{th}}$ root of unity $\omega$. In previous work with A. Ayyer (J. Alg., 2022), we studied the factorization of specialized irreducible characters of $\text{GL}_{tn}$, $\text{SO}_{2tn
Externí odkaz:
http://arxiv.org/abs/2212.12477
Autor:
Kumari, Nishu
Fix an integer $t \geq 2$ and a primitive $t^{\text{th}}$ root of unity $\omega$. We consider the specialized skew hook Schur polynomial $\text{hs}_{\lambda/\mu}(X,\omega X,\dots,\omega^{t-1}X/Y,\omega Y,\dots,\omega^{t-1}Y)$, where $\omega^k X=(\ome
Externí odkaz:
http://arxiv.org/abs/2211.14093
Autor:
Ayyer, Arvind, Kumari, Nishu
Publikováno v:
Journal of Algebra, Volume 609 (2022), 437-483
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 $\text{GL}_{tn}, \text{SO}_{2tn+1}, \text{Sp}_{2tn}$ and $\text{O}_{2tn}$, evaluated at elements $\omega^
Externí odkaz:
http://arxiv.org/abs/2109.11310
Autor:
Ayyer, Arvind, Kumari, Nishu
Publikováno v:
In Journal of Algebra 1 November 2022 609:437-483
