Parabolic induction and perverse sheaves on h/W
作者： Vadim Schechtman , Mikhail Kapranov
DOI:
关键词:
摘要: For a complex reductive Lie group G with algebra g, Cartan subalgebra h and Weyl W, we describe the category of perverse sheaves on h/W smooth w.r.t natural stratification. The answer is given in terms mixed Bruhat sheaves, which are certain sheaf-cosheaf data cells cell decomposition h/W. Using parabolic decomposition, relate properties various procedures induction restriction that connect different Levi subgroups G.
arxiv.org
harvard.edu参考文章(33)
J. L. Waldspurger, C. Moeglin, Spectral Decomposition and Eisenstein Series ,(1995)
C. De Concini, C. Procesi, Complete symmetric varieties Lecture Notes in Mathematics. pp. 1- 44 ,(1983) , 10.1007/BFB0063234
Jacques Tits, Buildings of Spherical Type and Finite BN-Pairs ,(1974)
Nagayoshi Iwahori, On the structure of a Hecke ring of a Chevalley group over a finite field Journal of the Faculty of Science, University of Tokyo. Sect. 1, Mathematics, astronomy, physics, chemistry. ,vol. 10, pp. 215- 236 ,(1964)
Armand Borel, Linear algebraic groups ,(1991)
Tobias Dyckerhoff, Mikhail Kapranov, Higher Segal Spaces ,(2019)
Frédéric Déglise, Denis-Charles Cisinski, Triangulated Categories of Mixed Motives ,(2019)
William Fulton, Joe Harris, Representation Theory: A First Course ,(1991)
I. N. Bernstein, A. V. Zelevinsky, Induced representations of reductive ${\mathfrak {p}}$-adic groups. I Annales Scientifiques De L Ecole Normale Superieure. ,vol. 10, pp. 441- 472 ,(1977) , 10.24033/ASENS.1333
Mikhail Kapranov, Olivier Schiffmann, Eric Vasserot, The Hall algebra of a curve Selecta Mathematica. ,vol. 23, pp. 117- 177 ,(2017) , 10.1007/S00029-016-0239-9