Title: COMBINATORIAL PROOF FOR THE GENERALIZED SCHUR IDENTITY
Abstract: Let λ be a partition with all distinct parts. In this paper we give a bijection between the set (X) of pairs (equation omitted) satisfying a certain condition and the set (X) of circled permutation tableaux of shape λ on the set X, where P is a tail circled shifted rim hook tableaux of shape λ and (equation omitted) is a barred permutation on X. Specializing to the partition λ with one part, this bijection gives a combinatorial proof of the Schur identity: 2(type()) = 2n! summed over all permutation with type() O . .
Publication Year: 1998
Publication Date: 1998-01-01
Language: en
Type: article
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot