3 papers
math.RT2026
Tensor product degenerate spin affine Hecke superalgebras
Thomas Moran
We define a new class of superalgebras, called tensor product degenerate spin affine Hecke superalgebras, and study their structure theory. We establish an isomorphism that relates…
math.RT2026
Higher-level affine wreath product algebras
Thomas Moran
We define and study two new classes of algebras, called higher-level affine wreath product algebras and higher-level affine Frobenius Hecke algebras. They depend on a Frobenius sup…
math.RA2024
A generalization of the first Tits construction
Thomas Moran, Susanne Pumpluen
Let be a field of characteristic not 2 or 3. The first Tits construction is a well-known tripling process to construct separable cubic Jordan algebras, especially Albert algebr…