Hasse-Schmidt Derivations and the Hopf Algebra of Non-Commutative Symmetric Functions

Hasse-Schmidt Derivations and the Hopf Algebra of Non-Commutative Symmetric Functions

Let NSymm be the Hopf algebra of non-commutative symmetric functions (in an infinity of indeterminates): . It is shown that an associative algebra A with a Hasse-Schmidt derivation ) on it is exactly the same as an NSymm module algebra. The primitives of NSymm act as ordinary derivations. There are...

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Bibliographic Details
Main Author: Michiel Hazewinkel
Format: Article
Language:English
Published: MDPI AG 2012-07-01
Series:Axioms
Subjects:
non-commutative symmetric functions
Hasse-Schmidt derivation
higher derivation
Heerema formula
Mirzavaziri formula
non-commutative Newton formulas
Online Access:http://www.mdpi.com/2075-1680/1/2/149

Internet

http://www.mdpi.com/2075-1680/1/2/149

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