关于对角调和的商环
On the quotient ring by diagonal harmonics
摘要：
对于外尔群W及其反射表示mathfrak{h}，通过一个包含无常数项的W-不变多项式的理想，求出C[mathfrak{h} o + mathfrak{h}^*]的商环的特征标和Hilbert级数.这证实了海曼的证词。证明利用合理的切雷德尼克代数，研究了埃廷夫和金兹伯格，和其他人。
英文摘要：
For a Weyl group W and its reflection representation mathfrak{h}, we find the character and Hilbert series for a quotient ring of C[mathfrak{h} oplus mathfrak{h}^*] by an ideal containing the W--invariant polynomials without constant term. This confirms conjectures of Haiman. The proof makes use of rational Cherednik algebras, as studied by Etingof and Ginzburg, and others.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
