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The structure of \(n\)-variable polynomial rings as Hecke algebra modules. (English) Zbl 0833.20018

20C30 Representations of finite symmetric groups
17B37 Quantum groups (quantized enveloping algebras) and related deformations
13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
82B23 Exactly solvable models; Bethe ansatz
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