2 edition of **On some Bruhat decomposition and the structure of the hecke rings of p-adic Chevalley groups** found in the catalog.

On some Bruhat decomposition and the structure of the hecke rings of p-adic Chevalley groups

Nagayoshi Iwahori

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- 14 Currently reading

Published
**1965**
by Institut des hautes études scientifiques in [Paris]
.

Written in

- Group theory.

**Edition Notes**

Other titles | Numérisation de documents anciens mathématiques (Online database), Regular elements of semisimple algebraic groups., Carleman estimates for the Laplace-Beltrami equation on complex manifolds., Mordells vermutung über rationale Punkte auf algebraischen Kurven und Funktionenkörper. |

Statement | by N. Iwahori and H. Matsumoto. Regular elements of semisimple algebraic groups, by Robert Steinberg. Carleman estimates for the Laplace-Beltrami equation on complex manifolds, by Aldo Andreotti and Edoardo Vesentini. Mordells vermutung über rationale Punkte auf algebraischen Kurven und Funktionenkörper, von Hans Grauert. |

Series | Institut des hautes études scientifiques (Paris, France) Publications mathématiques -- no. 25, Publications mathématiques (Institut des hautes études scientifiques (Paris, France)) -- no. 25. |

Contributions | Steinberg, Robert., Andreotti, Aldo., Grauert, Hans, 1930- |

The Physical Object | |
---|---|

Pagination | 149 p. |

Number of Pages | 149 |

ID Numbers | |

Open Library | OL13589604M |

Hecke operators 34 The Petersson inner product 37 Adjoints of Hecke operators 42 Traces of the Hecke operators 45 Odds and Ends 4. Topological groups 49 5. Adeles and ideles 52 p-adic Numbers 52 Adeles and ideles 54 6. Structure theorems and strong approximation for GL2(A) 59 Topology of GL2(A) 59 The. We construct -adic analogues of operator colligations and their characteristic functions. Consider a -adic group, a subgroup of and a subgroup which is diagonally embedded in. W.

In an initial step was taken in this direction, with the generalization of Chevalley's decomposition of algebraic groups to the case of normal algebraic monoids (Brion,). This structure theorem suggests that a representation theory of algebraic monoids should be developed in the context of homogeneous vector bundles over abelian varieties. [Hf] P.N. Hoefsmit, Representations of Hecke algebras of ﬁnite groups with BN-pairs of classical type, Ph.D. Thesis, University of British Columbia, [IM] N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Cited by:

Hecke’s precursor 4 to every ρ of N1 E/F/{±1}, and there exists a Gismorphism T of π(ρ)with (1/ ρ= 0 this is a nontrivial Gautomorphism of π(ρ 0) of order two, and the representations π± are its eigenspaces. The representations π± have the unique feature that neither is isomorphic to its complex conjugate. Instead, complex conjugation interchanges them. On the freeness of the integral cohomology groups of Hilbert-Blumenthal varieties as Hecke modules Eknath Ghate Dedicated to my parents, Anjali and Prabhu Ghate 1 Introduction Let F be a totally real ﬁeld of degree d ≥ 1. Let f be a Hilbert modular cusp form deﬁned over Fof level N ⊂ OF and parallel weight (k,k,,k) with k≥ 2.

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