Milo Bechtloff Weising

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20232025

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math.RT2025

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.RT2024

Delta Operators on Almost Symmetric Functions

Milo Bechtloff Weising

We construct $Δ$ -operators $F [Δ]$ on the space of almost symmetric functions $P_{a s}^{+}$ . These operators extend the usual $Δ$ -operators on the space of symmetric functi…

math.RT2024

Double Dyck Path Algebra Representations From DAHA

Milo Bechtloff Weising

The double Dyck path algebra $A_{q, t}$ was introduced by Carlsson-Mellit in their proof of the Shuffle Theorem. A variant of this algebra, $B_{q, t}$ , was introduc…

math.RT2023

Murnaghan-Type Representations of the Elliptic Hall Algebra

Milo Bechtloff Weising

We construct a new family of graded representations $W_{λ}$ indexed by Young diagrams $λ$ for the positive elliptic Hall algebra $E^{+}$ which generalizes the s…

math.RT2023

Stable-Limit Non-symmetric Macdonald Functions

Milo Bechtloff Weising

We construct and study an explicit simultaneous $Y$ -eigenbasis of Ion and Wu's standard representation of the $^{+}$ stable-limit double affine Hecke algebra for the limit C…