The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables
Copyright policy )The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables
We identify a collection of primitive elements generating the Hopf algebra NCSym of symmetric functions in noncommuting variables and give a combinatorial formula for the antipode.
8 pages; footnote added; references added; further remarks added
- Loyola University Chicago United States
- Saint Mary's University Canada
set compositions, combinatorial Hopf algebras, Symmetric functions and generalizations, Hopf algebras and their applications, Set compositions, Applied Mathematics, Connections of Hopf algebras with combinatorics, Combinatorial Hopf algebras, Mathematics - Rings and Algebras, 05E05, 16T05, 16T30, primitives, Antipode, set partitions, Rings and Algebras (math.RA), antipode, FOS: Mathematics, Mathematics - Combinatorics, Set partitions, Combinatorics (math.CO), Representation Theory (math.RT), Primitives, Mathematics - Representation Theory
set compositions, combinatorial Hopf algebras, Symmetric functions and generalizations, Hopf algebras and their applications, Set compositions, Applied Mathematics, Connections of Hopf algebras with combinatorics, Combinatorial Hopf algebras, Mathematics - Rings and Algebras, 05E05, 16T05, 16T30, primitives, Antipode, set partitions, Rings and Algebras (math.RA), antipode, FOS: Mathematics, Mathematics - Combinatorics, Set partitions, Combinatorics (math.CO), Representation Theory (math.RT), Primitives, Mathematics - Representation Theory
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