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pro vyhledávání: '"Hemelsoet, Nicolas"'
Autor:
Hemelsoet, Nicolas
We show that when a torus $T$ acts on a smooth variety $X$, the twisted HKR isomorphism is equivariant. The main consequence is that the Bezrukavnikov- Lachowska isomorphism, relating the Hochschild cohomology of the principal block of the small quan
Externí odkaz:
http://arxiv.org/abs/2210.02111
Let $\mathfrak{u}_\zeta^\vee$ denote the small quantum group associated with a simple Lie algebra $\mathfrak{g}^\vee$ and a root of unity $\zeta$. Based on the geometric realization of the center of $\mathfrak{u}_\zeta^\vee$ in [8], we use a combinat
Externí odkaz:
http://arxiv.org/abs/2205.09700
Autor:
Hemelsoet, Nicolas, Voorhaar, Rik
We apply the sheaf cohomology BGG method developed by the authors and Lachowska-Qi to the computation of Hochschild cohomology groups of various blocks of the small quantum group. All our computations of the center of the corresponding block agree wi
Externí odkaz:
http://arxiv.org/abs/2104.05113
Autor:
Hemelsoet, Nicolas, Voorhaar, Rik
We present a computer algorithm to explicitly compute the BGG resolution and its cohomology. We give several applications, in particular computation of various sheaf cohomology groups on flag varieties. An implementation of the algorithm is available
Externí odkaz:
http://arxiv.org/abs/1911.00871
Autor:
Hemelsoet, Nicolas, Voorhaar, Rik
Publikováno v:
In Journal of Algebra 15 October 2022 608:77-105
Autor:
Hemelsoet, Nicolas, Voorhaar, Rik
Publikováno v:
In Journal of Algebra 1 March 2021 569:758-783
Autor:
Hemelsoet, Nicolas
Cette thèse discute de la multiplication du centre du petit groupe quantique, en utilisant des outils provenant de la géométrie algébrique.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::641b1269098929431be50beffd0e337b
Publikováno v:
Mathematische Zeitschrift; May2023, Vol. 304 Issue 1, p1-30, 30p