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Artin Symmetric Functions
Milo Bechtloff Weising
In this paper we construct an algebraic invariant attached to Galois representations over number fields. This invariant, which we call an Artin symmetric function, lives in a certa…
Almost Symmetric Schur Functions
Milo Bechtloff Weising
We introduce and study a generalization of the Schur functions called the almost symmetric Schur functions. These functions simultaneously generalize the finite variabl…
Delta Operators on Almost Symmetric Functions
Milo Bechtloff Weising
We construct -operators on the space of almost symmetric functions . These operators extend the usual -operators on the space of symmetric functi…
Murnaghan-Type Representations for the Positive Elliptic Hall Algebra
Milo Bechtloff Weising
We construct a new family of graded representations for the positive elliptic Hall algebra indexed by Young diagrams which generalize the st…
Double Dyck Path Algebra Representations From DAHA
Milo Bechtloff Weising
The double Dyck path algebra was introduced by Carlsson-Mellit in their proof of the Shuffle Theorem. A variant of this algebra, , was introduc…