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|Title:||Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras||Authors:||Li, J.Y.
natural coalgebra decompositions
|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|
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