DAHA内积的积分公式
Integral formulas for DAHA inner products
摘要：
主要目的是获得DAHA共不变量的积分公式和相应的内积的DAHA参数的任何值。在紧的情况下，我们的方法是类似的程序“拿起残基”由于阿瑟，Heckman，Opdam和其他人，所得到的公式是一个积分的总和双仿射剩余子环。一个单一的实积分提供了所需的公式在非紧的情况下。当q趋于0时，我们的积分公式得到相应的AHA模的迹公式，该迹公式计算正则AHA模的球面部分的Plancherel测度。本文包含了一个系统的理论DAHA共不变量，包括各种结果的仿射对称化子和诱导DAHA模。
英文摘要：
The main aim is to obtain integral formulas for DAHA coinvariants and the corresponding inner products for any values of the DAHA parameters. In the compact case, our approach is similar to the procedure of ``picking up residues" due to Arthur, Heckman, Opdam and others; the resulting formula is a sum of integrals over double affine residual subtori. A single real integral provides the required formula in the noncompact case. As q tends to 0, our integral formulas result in the trace formulas for the corresponding AHA, which calculate the Plancherel measures for the spherical parts of the regular AHA modules. The paper contains a systematic theory of DAHA coinvariants, including various results on the affine symmetrizers and induced DAHA modules.
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。
