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pro vyhledávání: '"Gurevich, Maxim"'
Autor:
Gurevich, Maxim
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G1, Pp 21-30 (2023)
For Iwahori-spherical representations of non-Archimedean general linear groups, Chan–Savin recently expressed the Whittaker functor as a restriction to an isotypic component of a finite Iwahori–Hecke algebra module. We generalize this method to d
Externí odkaz:
https://doaj.org/article/f2c39ca7d61e46498b21e7f262d05bb8
Autor:
Gurevich, Maxim
We obtain two explicit formulas for the full local character expansion of any irreducible representation of a p-adic general linear group in principal blocks. The first, generalizing previous work of the author on the Iwahori-spherical case, expresse
Externí odkaz:
http://arxiv.org/abs/2405.16872
Autor:
Gurevich, Maxim, Okada, Emile
Weak Arthur packets have long been instrumental in the study of the unitary dual and automorphic spectrum of reductive Lie groups, and were recently introduced in the p-adic setting by Ciubotaru - Mason-Brown - Okada. For split odd orthogonal and sym
Externí odkaz:
http://arxiv.org/abs/2404.03485
Autor:
Gurevich, Maxim, Wang, Chuijia
We employ general parabolic recursion methods to demonstrate the recently devised hypercube formula for Kazhdan-Lusztig polynomials of $S_n$, and establish its generalization to the full setting of a finite Coxeter system through algebraic proof. We
Externí odkaz:
http://arxiv.org/abs/2303.09251
Autor:
Gurevich, Maxim
For Iwahori-spherical representations of non-Archimedean general linear groups, Chan-Savin recently expressed the Whittaker functor as a restriction to an isotypic component of a finite Iwahori-Hecke algebra module. We generalize this method to descr
Externí odkaz:
http://arxiv.org/abs/2201.01146
Autor:
Gurevich, Maxim
We clarify the links between the graded Specht construction of modules over cyclotomic Hecke algebras and the RSK construction for quiver Hecke algebras of type A, that was recently imported from the setting of representations of p-adic groups. For t
Externí odkaz:
http://arxiv.org/abs/2110.11381
Autor:
Gurevich, Maxim
We formalize some known categorical equivalences to give a rigorous treatment of smooth representations of p-adic general linear groups, as ungraded modules over quiver Hecke algebras of type A. Graded variants of RSK-standard modules are constructed
Externí odkaz:
http://arxiv.org/abs/2106.03120
Autor:
Gurevich, Maxim, Minguez, Alberto
Let $\pi_1,\ldots,\pi_k$ be smooth irreducible representations of $p$-adic general linear groups. We prove that the parabolic induction product $\pi_1\times\cdots\times \pi_k$ has a unique irreducible quotient whose Langlands parameter is the sum of
Externí odkaz:
http://arxiv.org/abs/2006.04118
Akademický článek
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Autor:
Gurevich, Maxim, Lapid, Erez
Publikováno v:
Represent. Theory 25 (2021), 644-678
We construct new "standard modules" for the representations of general linear groups over a local non-archimedean field. The construction uses a modified Robinson-Schensted-Knuth correspondence for Zelevinsky's multisegments. Typically, the new class
Externí odkaz:
http://arxiv.org/abs/1902.09180