zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
On some Bruhat decomposition and the structure of the Hecke rings of $p$-adic Chevalley groups. (English) Zbl 0228.20015

20E28Maximal subgroups of groups
Full Text: DOI Numdam EuDML
[1] A. Borel andJ. de Siebenthal, Les sous-groupes fermés de rang maximum des groupes de Lie clos,Comm. Math. Helv., 23 (1949), 200--221. · Zbl 0034.30701 · doi:10.1007/BF02565599
[2] R. Bott, An application of the Morse theory to the topology of Lie groups,Bull. Soc. Math. France, 84 (1956), 251--282. · Zbl 0073.40001
[3] F. Bruhat, Sur les représentations des groupes classiques p-adiques, I, II,Amer. J. Math., 83 (1961), 321--338, 343--368. · Zbl 0107.02504 · doi:10.2307/2372958
[4] F. Bruhat, Sur les sous-groupes compacts maximaux des groupes semi-simples p-adiques,Colloque sur la théorie des groupes algébriques, Bruxelles (1962), 69--76.
[5] F. Cartan, La géométrie des groupes simples,Ann. Mat. Pur. Appl., 4 (1927), 209--256. · Zbl 53.0392.03 · doi:10.1007/BF02409989
[6] C. Chevalley, Sur certains groupes simples,Tôhoku Math. J., 7 (1955), 14--66. · Zbl 0066.01503 · doi:10.2748/tmj/1178245104
[7] O. Goldman andN. Iwahori, The spaces of p-adic norms,Acta Math., 109 (1963), 137--177. · Zbl 0133.29402 · doi:10.1007/BF02391811
[8] O. Goldman andN. Iwahori,On the structure of Hecke rings associated to general linear groups over p-adic fields, to appear. · Zbl 0133.29402
[9] H. Hijikata,Maximal invariant orders of an involutive algebra over a local field, to appear.
[10] N. Iwahori, On the structure of a Hecke ring of a Chevalley group over a finite field, to appear, inJ. Faculty of Sci., Univ. of Tokyo, 10 (1964). · Zbl 0135.07101
[11] T. Ono, Sur les groupes de Chevalley,J. Math. Soc. Japan, 10 (1958), 307--313. · Zbl 0085.01705 · doi:10.2969/jmsj/01030307
[12] I. Satake, On spherical functions over p-adic fields,Proc. Japan Academy, 38 (1962), 422--425. · Zbl 0116.02303 · doi:10.3792/pja/1195523281
[13] Séminaire “Sophus Lie {”, Paris, 1954--1955.
[14] E. Stiefel, Über eine Beziehung zwischen geschlossenen Lieschen Gruppen und diskontinuierlichen Bewegungsgruppen euklidischer Räume und ihre Anwendung auf die Aufzählung der einfachen Lie’schen Gruppen,Comm. Math. Helv., 14 (1941), 350--379. · Zbl 0026.38603 · doi:10.1007/BF02565625
[15] T. Tamagawa, On the {$\zeta$}-functions of a division algebra,Ann. of Math., 77 (1963), 387--405. · Zbl 0222.12018 · doi:10.2307/1970221
[16] J. Tits, Théorème de Bruhat et sous-groupes paraboliques,C. R. Paris, 254 (1962), 2910--2912. · Zbl 0105.02201