On sheaves in finite group representations
Web14 de abr. de 2024 · Abstract We explain how to calculate the dg algebra of global functions on commuting stacks using tools from Betti Geometric Langlands. Our main technical results include: a semi-orthogonal decomposition of the cocenter of the affine Hecke category; and the calculation of endomorphisms of a Whittaker sheaf in a diagram organizing parabolic … Web1 de mai. de 2015 · Let G be an infinitesimal group scheme of finite height r and V (G) the scheme which represents 1-parameter subgroups of G.We consider sheaves over the projective support variety P (G) constructed from a G-module M.We show that if P (G) is regular then the sheaf H [1] (M) is zero if and only if M is projective. In general, H [1] …
On sheaves in finite group representations
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Web1 de mar. de 2024 · Given a general finite group G, we consider several categories built on it, their Grothendieck topologies and resulting sheaf categories. For a certain class of … WebFinite Chevalley groups 373 §3. Character sheaves and Lusztig's conjecture Character sheaves are certain G-equivariant simple perverse sheaves on G. In general, for an F -stable perverse sheaf K on G, by fixing an isomorphism r.p K : F* K ~K, one can associate to K a characteristic function XK,tpK.
Web30 de jun. de 2024 · Download Citation Finite group representations through 2-sheaves This thesis exposes an approach based on 2-categories to the study of modular … WebWorkshop. Representations of Finite and Algebraic Groups April 09, 2024 - April 13, 2024. Registration Deadline: May 24, 2024 over 4 years ago. To apply for Funding you must …
Web21 de ago. de 2024 · I survey what is known about simple modules for reductive algebraic groups. The emphasis is on characteristic p > 0 and Lusztig’s character formula. I explain ideas connecting representations and constructible sheaves (Finkelberg–Mirković conjecture) in the spirit of the Kazhdan–Lusztig conjecture. I also discuss a conjecture … WebREDUCTIVE GROUPS OVER FINITE FIELDS 105 make an accidental use of the similarly defined group Zp,(1)=lima , 0.3. For H a finite group, A(H) is the Grothendieck group of the finite dimensional representations of H over QC. If f and f' are class functions on H, with values in a cyclotomic field (often c Q1), the inner product H
WebNOTES ON FINITE GROUP REPRESENTATIONS 4 6. Direct sum of representations Given vector spaces V 1;:::;V n, their external direct sum (or simply direct sum) is a …
Web29 de abr. de 2024 · 1) The dg-algebra of endorphisms must be quasi-equivalent to an ordinary algebra. In other words, the generator can't have any self-exts outside of degree zero. 2) The identity of the path algebra quiver decomposes into a set of idempotents associated with the nodes of the quiver. how big is a lizardWeb1 de out. de 2024 · The more recent work of Balmer [4] demonstrates a fuller scope of sheaf theory, aiming at broader applications to representations of general finite groups. Our … how big is ally bankWeb17 de jul. de 2024 · The representations of finite groups are the subject of Serre’s book (1977), of which Part I is an exposition of fundamental results. Finite groups are studied … how big is a loggers cordWebA partition of an integer n is a representation of n as a sum of positive integers where the order of the summands is considered irrelevant. Thus we see that there are five partitions of the integer 4, namely 4, 3+1, 2+2, 2+1+1, 1+1+1+1. The partition function p (n) denotes the number of partitions of n. Thus p (4) = 5. how big is allen fieldhouseWebUsing truncated convolution of perverse sheaves on a flag variety Lusztig associated a monoidal category to a two sided cell in the Weyl group. We identify this category in the case which was not decided previously. how many notes are there in heptatonic scaleWebFinite groups acting on coherent sheaves and Galois covers Sanchez-Argaez, Armando Abstract Let G be a finite group and \rho: G--> End(E) be a group representation of G … how many notes are used in the diatonic scaleWebWe first develop some basic facts about hypergeometric sheaves on the multiplicative group Gm in characteristic p > 0. Specializing to some special classes of hypergeometric sheaves, we give relatively “simple” formulas for their trace functions, and a criterion for them to have finite monodromy. We then show that one of our local systems ... how many notes does a triad contain