Milo Bechtloff Weising

activity

20232025

collaborators

Showing math.COShow all

7 papers · 1 filter

math.CO2025

Saturation for Non-Symmetric Macdonald Polynomials

Milo Bechtloff Weising, Alexander E. Black

We prove that supports of non-symmetric Macdonald polynomials are $M$ -convex. As a consequence, we resolve a 2019 conjecture of Monical, Tokcan, and Yong that they have the saturat…

math.CO2025

Wreath Generalization of Littlewood Reciprocity

Milo Bechtloff Weising

Given any $m$ -dimensional complex representation $η$ of a finite group $G$ and any highest weight representation $V^{λ}$ of $GL_{nm} (C)$ we may define an action of…

math.CO2025

Higher Order Bell Symmetric Functions

Milo Bechtloff Weising

We study symmetric function analogues of the higher order Bell numbers. Their construction involves iterated plethystic exponential towers mimicking the single variable exponential…

math.CO2025

Higher Rank Macdonald Polynomials

Milo Bechtloff Weising

In this paper, we introduce higher rank generalizations of Macdonald polynomials. The higher rank non-symmetric Macdonald polynomials are Laurent polynomials in several sets of var…

math.CO2025

Multi-Symmetric Schur Functions

Milo Bechtloff Weising

We study a multi-symmetric generalization of the classical Schur functions called the multi-symmetric Schur functions. These functions form an integral basis for the ring of multi-…

math.CO2024

Almost Symmetric Schur Functions

Milo Bechtloff Weising

We introduce and study a generalization $s_{(μ ∣ λ)}$ of the Schur functions called the almost symmetric Schur functions. These functions simultaneously generalize the finite variabl…