A Hopf-Algebra Approach to Inner Plethysm
Authors: Scharf, T.; Thibon, J.Y.
Source: Advances in Mathematics, Volume 104, Number 1, March 1994 , pp. 30-58(29)
Publisher: Academic Press
Abstract:We use the Hopf algebra structure of the algebra of symmetric functions to study the Adams operators of the complex representation rings of symmetric groups, and we give new proofs of all of Littlewood′s formulas for inner plethysm. We also study the Adams operations for orthogonal and symplectic group characters.
Document Type: Research Article
Affiliations: Univ Bayreuth, Lehrstuhl Math 2, D 95440 Bayreuth, Germany and Univ Marne La Vallee, Inst Gaspard Mange, F 93166 Noisy Le Grand, France
Publication date: March 1, 1994