Quasiinvariants of S3
نویسندگان
چکیده
Let sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvariant with respect to Sn if (xi − xj) 2m+1 divides (1 − sij)P for all 1 ≤ i, j ≤ n. We call the ring of m-quasiinvariants, QIm[Xn]. We describe a method for constructing a basis for the quotient QIm[X3]/(e1, e2, e3). This leads to the evaluation of certain binomial determinants that are interesting in their own right.
منابع مشابه
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عنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 109 شماره
صفحات -
تاریخ انتشار 2005