Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Pramod N Achar"'
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 2 (2018)
Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its flag variety T^*(G/B), originally introduced by Bezrukavnikov, has been
Externí odkaz:
https://doaj.org/article/41ac80d60ddd40e6b74be19713c454c9
Autor:
Pramod N. Achar
Publikováno v:
Mathematical Surveys and Monographs ISBN: 9781470466688
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b62d562bc0605e40b353320e9a9fe19b
https://doi.org/10.1090/surv/258
https://doi.org/10.1090/surv/258
Autor:
Pramod N. Achar, William Hardesty
Let $G$ be a connected reductive group over an algebraically closed field $\Bbbk$. Under mild restrictions on the characteristic of $\Bbbk$, we show that any $G$-module with a good filtration also has a good filtration as a module for the reductive p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a88a27ba1e13a89921f422e94dc0e570
http://arxiv.org/abs/2106.04374
http://arxiv.org/abs/2106.04374
Publikováno v:
Transformation Groups
Transformation Groups, Springer Verlag, 2019, 24, pp.597-657
Transformation Groups, 2019, 24, pp.597-657
Transformation Groups, Springer Verlag, 2019, 24, pp.597-657
Transformation Groups, 2019, 24, pp.597-657
Let $G$ be a simply-connected semisimple algebraic group over an algebraically closed field of characteristic $p$, assumed to be larger than the Coxeter number. The "support variety" of a $G$-module $M$ is a certain closed subvariety of the nilpotent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7586c8de6be32f3a0475b833bd0c62b2
https://doi.org/10.1007/s00031-019-09513-y
https://doi.org/10.1007/s00031-019-09513-y
This book is the third Proceedings of the Southeastern Lie Theory Workshop Series covering years 2015–21. During this time five workshops on different aspects of Lie theory were held at North Carolina State University in October 2015; University of
Autor:
Laura Rider, Pramod N. Achar
Publikováno v:
Journal of Singularities. 20
The first author recently introduced a "nearby cycles formalism" in the framework of chain complexes of parity sheaves. In this paper, we compute this functor in two related settings: (i) affine space, stratified by the action of a torus, and (ii) th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e65697906002521b4909be33fe3e470
https://doi.org/10.5427/jsing.2020.20o
https://doi.org/10.5427/jsing.2020.20o
Publikováno v:
Canadian Journal of Mathematics
In this paper we construct an abelian category of mixed perverse sheaves attached to any realization of a Coxeter group, in terms of the associated Elias–Williamson diagrammatic category. This construction extends previous work of the first two aut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5df2a7f4bd471a3b2a8868eaa6742271
Autor:
Pramod N. Achar, Simon Riche
Publikováno v:
Transactions of the American Mathematical Society. 370:447-485
We further develop the general theory of the "mixed modular derived category" introduced by the authors in a previous paper in this series. We then use it to study positivity and Q-Koszulity phenomena on flag varieties.
33 pages
33 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75aba494e831636c426e394d514b3a99
https://doi.org/10.1090/tran/6952
https://doi.org/10.1090/tran/6952
Autor:
Pramod N. Achar, William Hardesty
Publikováno v:
The Quarterly Journal of Mathematics.
In this paper, we carry out several computations involving graded (or ${{\mathbb {G}}_{\textrm {m}}}$-equivariant) perverse-coherent sheaves on the nilpotent cone of a reductive group in good characteristic. In the first part of the paper, we compute
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5cc7fea4e5c40456e2223da90162c9f
https://doi.org/10.1093/qmath/haz016
https://doi.org/10.1093/qmath/haz016
Publikováno v:
Journal of the American Mathematical Society
We establish a character formula for indecomposable tilting modules for connected reductive groups in characteristic ℓ \ell in terms of ℓ \ell -Kazhdan–Lusztig polynomials, for ℓ > h \ell > h the Coxeter number. Using results of Andersen, one
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49f21d9ca80445765e096b0ca45ab2b0