Hecke Algebras, Difference Operators, an
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Florent Hivert
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Article
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2000
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Elsevier Science
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English
β 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