WebSep 15, 2024 · Characters of finite reductive groups. In this section we give some general theory and establish several preliminary results on the complex characters of finite reductive groups G F. We fix a prime ℓ which is distinct from p = char (F q), we let Q ℓ denote the ℓ-adic numbers, and fix an algebraic closure Q ‾ ℓ. WebMay 9, 2024 · A finite group of Lie type, as you can imagine, is a finite group analogue of Lie groups over real or complex numbers. ... Representations of reductive groups over finite fields, Ann. of Math. (2) 103 (1976), no.1, 103--161. Carter, Roger W., Finite groups of Lie type, John Wiley \& Sons Inc.,
Reductive groups over finite fields - MathOverflow
WebIII) Invariants under reductive group actions: a brief review of reductive groups, Hilbert's theorems on quotients and quotient morphisms. Algebro-geometric properties of quotients. ... Invariants of finite groups II (complex reflection groups and the Chevalley-Shephard-Todd theorem). References include [B, Chapter 5, Section 5]. WebJan 26, 2016 · Definition 1 We have the space of automorphic forms of level with coefficient in Notice these automorphic forms are automatically locally constant. The space is the fixed space of the space of all automorphic forms Here the subscript means uniformly locally constant functions. imbalance electrolytes nursing care plan
Computation of Invariants for Reductive Groups - University …
WebLusztig's classification of representations of finite reductive groups - lccs Lusztig's classification of representations of finite reductive groups We give an overview of Lusztig's classification of irreducible representations of reductive groups over finite fields and provide explicit examples. WebMar 2, 2016 · irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups. Topics General Mathematics Mathematics Access through your institution Add or Change Institution — or — PDF $234.50 Buy PDF WebJun 11, 2024 · By a real reductive group or a reductive Lie group we mean a finite covering group G of an open subgroup G 0 of G R. For example, G L ( n, F) for F = C or … imbalanced work life