Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Seth, Shelley"'
Autor:
Seth Shelley-Abrahamson, Ivan Losev
Publikováno v:
Selecta Mathematica. 24:1729-1804
For a complex reflection group W with reflection representation $$\mathfrak {h}$$ , we define and study a natural filtration by Serre subcategories of the category $$\mathcal {O}_c(W, \mathfrak {h})$$ of representations of the rational Cherednik alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae7d15e5e8529f354c846d88bfaa3257
https://doi.org/10.1007/s00029-018-0390-6
https://doi.org/10.1007/s00029-018-0390-6
Publikováno v:
Asian Journal of Medical Sciences; Mar2022, Vol. 13 Issue 3, p152-157, 6p
Autor:
Seth Shelley-Abrahamson
Publikováno v:
Selecta Mathematica. 26
In this paper we prove the existence of the Dunkl weight function $K_{c, \lambda}$ for any irreducible representation $\lambda$ of any finite Coxeter group $W$, generalizing previous results of Dunkl. In particular, $K_{c, \lambda}$ is a family of te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::335fd385bbb2b879ac85fac9a13f234c
https://doi.org/10.1007/s00029-019-0533-4
https://doi.org/10.1007/s00029-019-0533-4
Autor:
Seth Shelley-Abrahamson, Uma Roy
Publikováno v:
Journal of Algebra. 465:1-20
In [1] Bozec gave a definition of generalized quantum groups that extends the usual definition of quantum groups to finite quivers with loops at vertices, and in [3] he introduced a theory of generalized crystals for this new family of Hopf algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc7fa45eade0c1cd032b44da03bf39f5
https://doi.org/10.1016/j.jalgebra.2016.06.025
https://doi.org/10.1016/j.jalgebra.2016.06.025
Autor:
Seth Shelley-Abrahamson
Publikováno v:
Algebras and Representation Theory. 20:123-145
For a finite group G and nonnegative integer n ≥ 0, one may consider the associated tower $G \wr S_{n} := S_{n} \ltimes G^{n}$ of wreath product groups. Zelevinsky associated to such a tower the structure of a positive self-adjoint Hopf algebra (PS
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ca24bb03443a86add340f0676fe7e17
https://doi.org/10.1007/s10468-016-9633-4
https://doi.org/10.1007/s10468-016-9633-4
Autor:
Seth Shelley-Abrahamson, Max Murin
The irreducible representations of full support in the rational Cherednik category $\mathcal{O}_c(W)$ attached to a Coxeter group $W$ are in bijection with the irreducible representations of an associated Iwahori-Hecke algebra. Recent work has shown
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bcd361a55e47c0cfcafae52abce8c7b9
http://arxiv.org/abs/1708.03673
http://arxiv.org/abs/1708.03673
Autor:
Seth Shelley-Abrahamson, Alec Sun
Using a combinatorial description due to Jacon and Lecouvey of the wall crossing bijections for cyclotomic rational Cherednik algebras, we show that the irreducible representations $L_c(\lambda^\pm)$ of the rational Cherednik algebra $H_c(D_n, \mathb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c77778b1f761dee2943db329a23799e
http://arxiv.org/abs/1612.05090
http://arxiv.org/abs/1612.05090
Autor:
Seth Shelley-Abrahamson, Yuchen Fu
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using $R$-matrices for $U_q(\mathfrak{sl}_N)$. Our construction is motivated by an analogous construction of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02e8d93e68e5e62edc7549c18ab70287
https://doi.org/10.3842/sigma.2016.055
https://doi.org/10.3842/sigma.2016.055
Autor:
Norton, Emily1 (AUTHOR)
Publikováno v:
Representation Theory. 9/3/2021, Vol. 25, p748-759. 12p.
Autor:
Elias, Ben
Publikováno v:
Transactions of the American Mathematical Society; Mar2022, Vol. 375 Issue 3, p1883-1915, 33p