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Multiplicative functions and operators of Hecke type

✍ Scribed by R. A. Rankin


Publisher
Akadmiai Kiad
Year
1962
Tongue
English
Weight
397 KB
Volume
13
Category
Article
ISSN
1588-2632

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Hecke Algebras, Difference Operators, an
✍ Florent Hivert πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 470 KB

We define a new action of the symmetric group and its Hecke algebra on polynomial rings whose invariants are exactly the quasi-symmetric polynomials. We interpret this construction in terms of a Demazure character formula for the irreducible polynomial modules of a degenerate quantum group. We use t