Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras

Please use this identifier to cite or link to this item: https://doi.org/10.1017/S0013091510000015

Title:	Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras
Authors:	Li, J.Y. Lei, F.C. Wu, J.
Keywords:	coalgebras Lie powers natural coalgebra decompositions sub-Hopf algebras tensor algebras Tn-projective functors
Issue Date:	Mar-2011
Citation:	Li, J.Y., Lei, F.C., Wu, J. (2011-03). Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras. Proceedings of the Edinburgh Mathematical Society 54 (2) : 467-504. ScholarBank@NUS Repository. https://doi.org/10.1017/S0013091510000015
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. © 2011 Edinburgh Mathematical Society.
Source Title:	Proceedings of the Edinburgh Mathematical Society
URI:	http://scholarbank.nus.edu.sg/handle/10635/103557
ISSN:	00130915
DOI:	10.1017/S0013091510000015
Appears in Collections:	Staff Publications

There are no files associated with this item.

Check