Milo Bechtloff Weising

collaborators

6 papers

math.RT2026

Non-archimedean Infinite Hecke Algebra

Milo Bechtloff Weising

We study the representation theory of the infinite type A Hecke algebra over a non-archimedean field in the case where the parameter is a pseudo-uniformizer. Specifically, we consi…

math.CO2026

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

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

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.CO2025

Wreath Generalization of Littlewood Reciprocity

Milo Bechtloff Weising

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

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…