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Differential operators on noncommutative rings

✍ Scribed by V. A. Lunts; A. L. Rosenberg


Publisher
SP Birkhäuser Verlag Basel
Year
1997
Tongue
English
Weight
408 KB
Volume
3
Category
Article
ISSN
1022-1824

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Noncommutative Pieri Operators on Posets
✍ Nantel Bergeron; Stefan Mykytiuk; Frank Sottile; Stephanie van Willigenburg 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 291 KB

We consider graded representations of the algebra NC of noncommutative symmetric functions on the Z-linear span of a graded poset P. The matrix coefficients of such a representation give a Hopf morphism from a Hopf algebra HP generated by the intervals of P to the Hopf algebra of quasi-symmetric fun