Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras
نویسندگان
چکیده
منابع مشابه
Module Structure on Lie Powers and Natural Coalgebra-split Sub Hopf Algebras of Tensor Algebras
In this article, 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.
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نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2011
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091510000015