6 papers
The Grothendieck Ring of a Family of Spherical Categories
Zhengwei Liu, Christopher Ryba
The first author constructed a -parameterized spherical category $\sC$ over in [Liu15], whose simple objects are labelled by all Young diagrams. In this paper, w…
Littlewood Complexes for Symmetric Groups
Christopher Ryba
We construct a complex resolving the irreducible representations of the symmetric groups by representations restricted from $GL_n…
Indecomposable Objects of in Terms of Exterior Powers of the Tautological Object and its Dual
Christopher Ryba
The purpose of this short note is to understand the Grothendieck ring of the Deligne category . We give a formula for the class of an indecomposable o…
A Permutation Module Deligne Category and Stable Patterns of Kronecker Coefficients
Christopher Ryba
Deligne's category is a tensor category depending on a parameter "interpolating" the categories of representations of the symmetric groups . We…
Resolving Irreducible -Modules by Modules Restricted from
Christopher Ryba
We construct a resolution of irreducible complex representations of the symmetric group by restrictions of representations of (where is the subgroup…
An Answer to a Question of Zeilberger and Zeilberger about Fractional Counting of Partitions
Christopher Ryba
We answer a question of Zeilberger and Zeilberger about certain partition statistics.