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Indexed by:期刊论文

Date of Publication:2011-06-01

Journal:PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

Included Journals:SCIE

Volume:54

Page Number:467-504

ISSN No.:0013-0915

Key Words:tensor algebras; Lie powers; coalgebras; sub-Hopf algebras; T(n)-projective functors; natural coalgebra decompositions

Abstract:We investigate the functors from modules to modules that occur as the summands of tensor powers and the functors from modules to Hopf algebras that occur as natural coalgebra summands of tensor algebras. The main results provide some explicit natural coalgebra summands of tensor algebras. As a consequence, we obtain some decompositions of Lie powers over the general linear groups.