Zobrazeno 1 - 10
of 174
pro vyhledávání: '"Ram, Arun"'
Autor:
Colmenarejo, Laura, Ram, Arun
This paper develops the theory of Macdonald-Koornwinder polynomials in parallel analogy with the work done for the $GL_n$ case in [CR22]. In the context of the type $CC_n$ affine root system the Macdonald polynomials of other root systems of classica
Externí odkaz:
http://arxiv.org/abs/2410.19957
Autor:
Ram, Arun
Ian Macdonald's works changed our perspective on so many parts of algebraic combinatorics and formal power series. This talk will display some selected works of the art of Ian Macdonald, representative of different periods of his oeuvre, and analyze
Externí odkaz:
http://arxiv.org/abs/2408.01704
Autor:
Ram, Arun
This paper uses Lusztig varieties to give central elements of the Iwahori-Hecke algebra corresponding to unipotent conjugacy classes in the finite Chevalley group $GL_n(\mathbb{F}_q)$. We explain how these central elements are related to Macdonald po
Externí odkaz:
http://arxiv.org/abs/2402.17935
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
Autor:
Daugherty, Zajj, Ram, Arun
Set-valued tableaux formulas play an important role in Schubert calculus. Using the box greedy reduced word for the construction of the Macdonald polynomials, we convert the alcove walk formula for Macdonald polynomials to a set-valued tableaux formu
Externí odkaz:
http://arxiv.org/abs/2212.04033
Autor:
Halverson, Tom, Ram, Arun
In this paper we give Monk rules for Macdonald polynomials which are analogous to the Monk rules for Schubert polynomials. These formulas are similar to the formulas given by Baratta (2008), but our method of derivation is to use Cherednik's interwin
Externí odkaz:
http://arxiv.org/abs/2212.04032
Autor:
Colmenarejo, Laura, Ram, Arun
This is a paper about $c$-functions and Macdonald polynomials. There are $c$-function formulas for $E$-expansions of $P_\lambda$ and $A_{\lambda+\rho}$, principal specializations of $P_\lambda$ and $E_\mu$, for Macdonald's constant term formulas, and
Externí odkaz:
http://arxiv.org/abs/2212.03312
Let $G$ be a finite group. Let $H, K$ be subgroups of $G$ and $H \backslash G / K$ the double coset space. Let $Q$ be a probability on $G$ which is constant on conjugacy classes ($Q(s^{-1} t s) = Q(t)$). The random walk driven by $Q$ on $G$ projects
Externí odkaz:
http://arxiv.org/abs/2208.10699
Autor:
Colmenarejo, Laura, Ram, Arun
Publikováno v:
In Journal of Algebra 1 October 2024 655:163-222
