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
Hecke operators on period functions for
✍ Scribed by T. Mühlenbruch
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 233 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0022-314X
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✦ Synopsis
Matrix representations of Hecke operators on classical holomorphical cusp forms and the corresponding period polynomials are well known. In this article we derive representations of Hecke operators for vector-valued period functions for the congruence subgroups Γ 0 (n). For this we use an integral transform from the space of vector-valued cusp forms to the space of vector-valued period functions.
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