Title | ||
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The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables |
Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2011 | 10.1016/j.aam.2011.01.002 | Advances in Applied Mathematics |
Keywords | Field | DocType |
hopf algebra ncsym,set compositions,primitive element,primitives. lauve partially supported by nsa grant #h98230-10-1-0362. mastnak partially supported by an nserc discovery grant.,antipode,set partitions,. combinatorial hopf algebras,symmetric function,noncommuting variable,combinatorial formula,hopf algebra,representation theory | Discrete mathematics,Symmetric function,Combinatorics,Algebra,Quasitriangular Hopf algebra,Representation theory of Hopf algebras,Hopf algebra,Mathematics,Quantum group | Journal |
Volume | Issue | ISSN |
47 | 3 | 0196-8858 |
Citations | PageRank | References |
1 | 0.38 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Aaron Lauve | 1 | 4 | 1.92 |
Mitja Mastnak | 2 | 2 | 1.07 |