Modular generalized Springer correspondence II: classical groups
نویسندگان
چکیده
منابع مشابه
Modular generalized Springer correspondence III: exceptional groups
We complete the construction of the modular generalized Springer correspondence for an arbitrary connected reductive group, with a uniform proof of the disjointness of induction series that avoids the case-by-case arguments for classical groups used in previous papers in the series. We show that the induction series containing the trivial local system on the regular nilpotent orbit is determine...
متن کاملModular Generalized Springer Correspondence: an Overview
This is an overview of our series of papers on the modular generalized Springer correspondence [AHJR2, AHJR3, AHJR4, AHJR5]. It is an expansion of a lecture given by the second author in the Fifth Conference of the Tsinghua Sanya International Mathematics Forum, Sanya, December 2014, as part of the Master Lecture ‘Algebraic Groups and their Representations’ Workshop honouring G. Lusztig. The ma...
متن کاملModular generalized Springer correspondence I: the general linear group
We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the ‘recollement’ properties, and with subquotients equivalent to categories of representations of a produc...
متن کاملAn exotic Springer correspondence for symplectic groups
Let G be a complex symplectic group. In [K1], we singled out the nilpotent cone N of some reducible G-module, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for Weyl groups of type C, but shares a similar flavor with that of type A case. (I.e. there appears...
متن کاملCorrespondance De Springer Modulaire Et Matrices De Décomposition — Modular Springer Correspondence and Decomposition Matrices
Cédric Bonnafé (co-directeur) Chargé de Recherche à l’Université de Franche-Comté Michel Brion Directeur de Recherche à l’Université de Grenoble 1 Michel Broué Professeur à l’Université Paris 7 Bernard Leclerc Professeur à l’Université de Caen Jean Michel Directeur de Recherche à l’Université Paris 7 Raphaël Rouquier (co-directeur) Directeur de Recherche à l’Université Paris 7 Professeur à l’Un...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2017
ISSN: 1435-9855
DOI: 10.4171/jems/687