Chern characters on compact Lie groups of low rank
type: Item
instance of: scholarly article
title: Chern characters on compact Lie groups of low rank
zbMATH Open document ID: 0579.57020
author: B. George
published in: Osaka Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Let G be a compact, simply connected, simple Lie group of rank \(\ell \leq 4\). The author computes explicitly ch \(\beta\) (\(\lambda\) \({}_ i)\) for suitable generators \(\lambda_ 1,...,\lambda_{\ell}\) of the representation ring R(G), where ch denotes the Chern character, ch: \(K^*(G)\to H^*(G;{\mathbb{Q}})\), and \(\beta\) : R(G)\(\to K^*(G)\) is the map introduced by \textit{L. Hodgkin} [Topology 6, 1-36 (1967; Zbl 0186.571)].
Mathematics Subject Classification ID: 57T10
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 55N15
Mathematics Subject Classification ID: 55R45
zbMATH DE Number: 3927929
zbMATH Keywords: compact, simply connected, simple Lie group
zbMATH Keywords: representation ring
zbMATH Keywords: Chern character
reviewed by: Francisco Gómez
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3927929