GOLF
发表于 2025-3-21 20:09:27
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出处
发表于 2025-3-21 23:39:00
Hopf algebras,s, Sym, the Hopf algebra of quasisymmetric functions, QSym, and the Hopf algebra of noncommutative symmetric functions, NSym. In each case we describe pertinent bases, the product, the coproduct and the antipode. Once defined we see how Sym is a subalgebra of QSym, and a quotient of NSym. We also di
调整校对
发表于 2025-3-22 02:45:50
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adjacent
发表于 2025-3-22 05:24:20
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FLINT
发表于 2025-3-22 09:14:37
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Arroyo
发表于 2025-3-22 15:32:05
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恫吓
发表于 2025-3-22 20:13:31
Hopf algebras,scuss the duality of QSym and NSym and a variety of automorphisms on each. We end by defining combinatorial Hopf algebras and discussing the role QSym plays as the terminal object in the category of all combinatorial Hopf algebras.
Provenance
发表于 2025-3-22 21:42:47
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充足
发表于 2025-3-23 03:26:57
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Meager
发表于 2025-3-23 08:16:59
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