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

- 242 Want to read
- 7 Currently reading

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

Written in English

- 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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On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups. Iwahori & H. Matsumoto Publications Mathématiques de l'Institut des Hautes Études Scientifiques vol pages 5 – 48 ()Cite this articleCited by: On some Bruhat decomposition and the structure of the hecke rings of p-adic Chevalley groups.

On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups Nagayoshi Iwahori; Hideya Matsumoto. Publications Mathématiques de l'IHÉS () Volume: 25, page ; ISSN: ; Access Full Article top Access to full text Full (PDF) How to cite topCited by: [IM] i and oto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ.

Math. IHES 25 (), [L] g, From conjugacy classes in the Weyl group to unipotent classes, arxiv [M] i, The orbits of a ne symmetric spaces under the action of minimal parabolicFile Size: 77KB.

[IM] i and oto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups,25(), [L] g,From conjugacy classes in the Weyl group to unipotent classes,arxiv An affine Hecke algebra is a certain associative algebra that deforms the group algebra [] "On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups".

Publications Mathématiques de l'IHÉS. Publications. Iwahori, N.; Matsumoto, H. (), "On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups", Publications Mathématiques de l'IHÉS (25): 5–48, ISSNMR See also.

Chevalley–Iwahori–Nagata theorem; References. Hotta, Ryoshi (), "Mathematical contributions of Professor Nagayoshi Iwahori", Journal of the Faculty of. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ.

Math. Inst. Hautes Études Sci. 25 (), 5– Crossref N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p -adic Chevalley groups, Publ. Math. Inst. Hautes Études Author: Noriyuki Abe.

The relationship between the convolution algebra and the algebra using Coxeter groups was due to Iwahori and Matsumoto (N. Iwahori and H. Matsumoto. On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups.

Inst. Hautes Etudes Sci. Publ. Math., (25):5–48, ). N. Iwahori and H. Matsumoto. On some Bruhat decomposition and the structure of the Hecke rings of \(\mathfrak{p}\)-adic Chevalley groups.

Inst. Hautes Études Sci. Publ. Math., –48, MathSciNet CrossRef zbMATH Google Scholar. These notes give a fully self--contained introduction to the (modular) representation theory of the Iwahori--Hecke algebras and the q--Schur algebras of the symmetric groups. The central aim of this work is to give a concise, but complete, and an elegant, yet quick, treatment of the classification of the simple modules and of the blocks of.

[Iwahori-Matsumoto ] N. Iwahori and H. Matsumoto, `On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups', Publ. Math.

I.H.E.S. 25 (), pp. [Jacquet ] H. Jacquet, `Repr\'{e sentations des groupes lineaires p-adiques', in C.I.M.E. Summer School on the Theory of Group Representations and. Iwahori-Hecke algebras for p-adic loop groups.

On some Bruhat decomposition and the structure of the Hecke rings of-adic Chevalley groups. Article. Cambridge Core - Algebra - A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory - by Bangming Deng [41] N., Iwahori and H., Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Inst.

Hautes Études Sci. Publ. Math. 25 (), 5–Cited by: Project Euclid - mathematics and statistics online. Categorified symplectic geometry and the string Lie 2-algebra Baez, John C. and Rogers, Christopher L., Homology, Homotopy and Applications, ; A Hardy-Ramanujan Formula for Lie Algebras Ritter, Gordon, Experimental Mathematics, ; Growth and Lie brackets in the homotopy Lie algebra Félix, Yves, Halperin, Stephen, and Thomas, Jean Cited by: 1.

On the Hecke algebra of a type for unramified p-adic unitary groups Article. On some Bruhat decomposition and the structure of the Hecke rings of-adic Chevalley groups.

Article. N Iwahori, H MatsumotoOn some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups Publ. Math. Inst. Hautes Études Sci., 40 (), pp. Google ScholarCited by: tions of nite groups of Lie type. Thus Iwahori Hecke algebras are involved in many diverse problems.

1 Hecke Algebras reduce in nite dimensional prob-lems to nite-dimensional ones In this section, we will not give proofs, but explain some \facts of life" about repre-sentations of p-adic groups to orient the reader.

We will come back to these File Size: KB. Geometric and homological properties of affine Deligne-Lusztig varieties Pages from Volume "On some Bruhat decomposition and the structure of the Hecke rings of ${\germ p}$-adic Chevalley groups," Inst. Hautes Études Sci.

Publ. Math., iss. 25, pp. Cited by: [iwahorimatsumoto65] N. Iwahori and H. Matsumoto, "On some Bruhat decomposition and the structure of the Hecke rings of ${\mathfrak p}$-adic Chevalley groups," Inst.

Hautes Études Sci. Publ. Math., vol. 25, pp.Cited by:. N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of 픭-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (), 5– MR [L] George Lusztig, Characters of reductive groups over a finite field, Annals of Mathematics Studies, vol.Princeton University Press, Princeton.Starting from some linear algebraic data (a Weyl group invariant bilinear form) and some arithmetic data (a bilinear Steinberg symbol), we construct a central extension of a Kac–Moody group generalizing the work of by: 6.[39] N.

Iwahori and H. Matsumoto - On some Bruhat decomposition and the structure of the Hecke ring of p-adic Chevalley groups, Publ. Math. IHES, 25 () p. | Article | MR | Zbl