Zobrazeno 1 - 10
of 44
pro vyhledávání: '"BHATTACHARYA, ARITRA"'
Autor:
Bhattacharya, Aritra
We give a Hecke algebra derivation of Macdonald's expansion formula for Hall-Littlewood polynomials in terms of semistandard Young tableaux. This is accomplished by first obtaining a Hecke algebra lift of the expansion coefficients and then proving a
Externí odkaz:
http://arxiv.org/abs/2407.14652
We consider the monomial expansion of the $q$-Whittaker polynomials given by the fermionic formula and via the inv and quinv statistics. We construct bijections between the parametrizing sets of these three models which preserve the $x$- and $q$-weig
Externí odkaz:
http://arxiv.org/abs/2311.07904
Autor:
Bhattacharya, Aritra, Ram, Arun
In this paper we use the double affine Hecke algebra to compute the Macdonald polynomial products $E_\ell P_m$ and $P_\ell P_m$ for type $SL_2$ and type $GL_2$ Macdonald polynomials. Our method follows the ideas of Martha Yip but executes a compressi
Externí odkaz:
http://arxiv.org/abs/2310.10846
Publikováno v:
manuscripta math. 175, (2024)
A space $X$ is $W$-trivial if for every real vector bundle $\alpha$ over $X$ the total Stiefel-Whitney class $w(\alpha)$ is 1. It follows from a result of Milnor that if $X$ is an orientable closed smooth manifold of dimension $1,2,4$ or $8$, then $X
Externí odkaz:
http://arxiv.org/abs/2306.11685
Autor:
Bhattacharya, Aritra
Haglund's conjecture states that $\dfrac{\langle J_{\lambda}(q,q^k),s_\mu \rangle}{(1-q)^{|\lambda|}} \in \mathbb{Z}_{\geq 0}[q]$ for all partitions $\lambda,\mu$ and all non-negative integers $k$, where $J_{\lambda}$ is the integral form Macdonald s
Externí odkaz:
http://arxiv.org/abs/2205.11802
Akademický článek
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Publikováno v:
Manuscripta Mathematica; Sep2024, Vol. 175 Issue 1/2, p499-512, 14p
Autor:
Burman, Jayeeta1, Bhattacharya, Aritra1, Chattopdhyay, Amitabha1, Dey, Indira1, Sembiah, Sembagamuthu2 semba9.ss@gmail.com, Negi, Rudresh2
Publikováno v:
Journal of Family Medicine & Primary Care. Mar2021, Vol. 10 Issue 3, p1377-1382. 6p.
Autor:
Dutta, Tanmoy, Bhattacharya, Aritra
Publikováno v:
International Journal of Biomedical & Clinical Analysis; Aug2022, Vol. 2 Issue 1, p29-38, 10p
Publikováno v:
Journal of Clinical & Diagnostic Research; Jul2021, Vol. 15 Issue 7, Special section p21-25, 5p