Nearby cycle sheaves for symmetric pairs
نویسندگان
چکیده
We present a nearby cycle sheaf construction in the context of symmetric spaces. This can be regarded as replacement for Grothendieck-Springer resolution classical Springer theory.
منابع مشابه
Milnor fibers over singular toric varieties and nearby cycle sheaves
We propose a new sheaf-theoretical method for the calculation of the monodromy zeta functions of Milnor fibrations. As an application, classical formulas of Kushnirenko [11] and Varchenko [23] etc. concerning polynomials on C will be generalized to polynomial functions on any toric variety.
متن کاملNearby Cycles of Automorphic Étale Sheaves, Ii
We review some recent results of ours on the nearby cycles of automorphic étale sheaves, and record some improvements of the arguments.
متن کاملAdjoint Pairs for Quasi-coherent Sheaves on Stacks
In this paper we construct a pushforward-pullback adjoint pair for categories of quasi-coherent sheaves, along a morphism of algebraic stacks, which is represented in algebraic stacks over the site C = Affflat. The construction uses the characterization of algebraic stacks of [H3] and is based on the descent description of the category of quasi-coherent sheaves given in [H2]. We show that an es...
متن کاملHarish-chandra Modules for Quantum Symmetric Pairs
Let U denote the quantized enveloping algebra associated to a semisimple Lie algebra. This paper studies Harish-Chandra modules for the recently constructed quantum symmetric pairs U ,B in the maximally split case. Finite-dimensional U -modules are shown to be Harish-Chandra as well as the B-unitary socle of an arbitrary module. A classification of finite-dimensional spherical modules analogous...
متن کاملThe Bar Involution for Quantum Symmetric Pairs
We construct a bar involution for quantum symmetric pair coideal subalgebras Bc,s corresponding to involutive automorphisms of the second kind of symmetrizable Kac-Moody algebras. To this end we give unified presentations of these algebras in terms of generators and relations, extending previous results by G. Letzter and the second-named author. We specify precisely the set of parameters c for ...
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: American Journal of Mathematics
سال: 2023
ISSN: ['0002-9327', '1080-6377']
DOI: https://doi.org/10.1353/ajm.2023.0000