A Littlewood-Richardson rule for the MacDonald inner product and bimodules over wreath products
Abstract
We prove a Littlewood-Richardson type formula for (sλ/μ,s/)tk,t, the pairing of two skew Schur functions in the MacDonald inner product at q = tk for positive integers k. This pairing counts graded decomposition numbers in the representation theory of wreath products of the algebra C[x]/xk and symmetric groups.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.