Double affine Hecke algebras and difference Fourier transforms
Double affine Hecke algebras and difference Fourier transforms
复制标题
双仿射 Hecke 代数和差分傅里叶变换
DOI：
10.1007/s00222-002-0240-0
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发表时间：
2001
影响因子：
3.1
通讯作者：
I. Cherednik
中科院分区：
文献类型：
--
作者：
I. Cherednik
In the paper, we introduce and calculate difference Fourier transforms on representations of the double affine Hecke algebras in polynomilas, polynomials multiplied by the Gaussian, and various spaces of delta-functions including finite-dimensional ones, give a general description of the semisimple representations with a special consideration of the GL-case, and then gradually restrict ourselves with spherical, pseudo-unitary, and Fourier-invariant representations. The latter generalize the Verlinde algebras and lead to new Gauss-Selberg sums and Macdonald's eta-type identities.
DOI：
10.1090/s0894-0347-1989-0991016-9
发表时间：
1989-09
影响因子：
3.9
作者：
G. Lusztig
通讯作者：
G. Lusztig
“共形场论和切雷德尼克代数”
DOI：
--
发表时间：
2009
期刊：
影响因子：
--
作者：
K. Iohara;Y. Koga;Yoshiyuki Koga;Atsushi Ichino;Atsushi Ichino;Kazuo Matsuno;Kazuo Matsuno;M. Kawazoe and T. Takahashi;Takeshi Suzuki;Takeshi Suzuki;鈴木武史
通讯作者：
鈴木武史