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pro vyhledávání: '"Wen, Joshua Jeishing"'
Autor:
Wen, Joshua Jeishing
We confirm a conjecture of Braverman--Etingof--Finkelberg that the spherical subalgebra of their cyclotomic double affine Hecke algebra (DAHA) is isomorphic to a quantized multiplicative quiver variety for the cyclic quiver, as defined by Jordan. The
Externí odkaz:
http://arxiv.org/abs/2407.07679
Autor:
Wen, Joshua Jeishing
We describe a way to study and compute Pieri rules for wreath Macdonald polynomials using the quantum toroidal algebra. The Macdonald pairing can be naturally generalized to the wreath setting, but the wreath Macdonald polynomials are no longer colli
Externí odkaz:
http://arxiv.org/abs/2402.06007
Autor:
Wen, Joshua Jeishing
We prove that for generic parameters, the quantum radial parts map of Varagnolo and Vasserot gives an isomorphism between the spherical double affine Hecke algebra of $GL_n$ and a quantized multiplicative quiver variety, as defined by Jordan.
Co
Co
Externí odkaz:
http://arxiv.org/abs/2309.00823
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald $P$-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree. Our operators
Externí odkaz:
http://arxiv.org/abs/2211.03851
Autor:
Wen, Joshua Jeishing
We show that the wreath Macdonald polynomials for $\mathbb{Z}/\ell\mathbb{Z}\wr\Sigma_n$, when naturally viewed as elements in the vertex representation of the quantum toroidal algebra $U_{\mathfrak{q},\mathfrak{d}}(\ddot{\mathfrak{sl}}_\ell)$, diago
Externí odkaz:
http://arxiv.org/abs/1904.05015