On Trees and Characters
Source: Journal of Algebraic Combinatorics, Volume 17, Number 3, May 2003 , pp. 323-334(12)
A new family of trees, defined in term of Young diagrams, is introduced. Values of central characters of the symmetric group are represented as a weighted enumeration of such trees. The proof involves a new decomposition theorem for representations corresponding to general shapes.
Document Type: Research Article
Affiliations: 1: Sackler School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel. firstname.lastname@example.org 2: Department of Mathematics, Imperial College of Science, Technology and Medicine, 180 Queen's Gate, London SW7 2BZ, England. email@example.com 3: Department of Mathematics and Computer Science, Bar-Ilan University, Ramat-Gan 52900, Israel. firstname.lastname@example.org
Publication date: 2003-05-01