Invariants in Non-Commutative Variables of the Symmetric and Hyperoctahedral Groups
We consider the graded Hopf algebra $NCSym$ of symmetric functions with non-commutative variables, which is analogous to the algebra $Sym$ of the ordinary symmetric functions in commutative variables. We give formulaes for the product and coproduct on some of the analogues of the $Sym$ bases and exp...
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Format: | Article |
Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2008-01-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
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Online Access: | https://dmtcs.episciences.org/3609/pdf |