Théorie directe des groupes de Lie, IV
Séminaire Dubreil. Algèbre et théorie des nombres (1973-1974)
- Volume: 27, Issue: 1, page 1-15
Access Full Article
topHow to cite
topHofmann, Karl H.. "Théorie directe des groupes de Lie, IV." Séminaire Dubreil. Algèbre et théorie des nombres 27.1 (1973-1974): 1-15. <http://eudml.org/doc/111468>.
@article{Hofmann1973-1974,
author = {Hofmann, Karl H.},
journal = {Séminaire Dubreil. Algèbre et théorie des nombres},
language = {fre},
number = {1},
pages = {1-15},
publisher = {Secrétariat mathématique},
title = {Théorie directe des groupes de Lie, IV},
url = {http://eudml.org/doc/111468},
volume = {27},
year = {1973-1974},
}
TY - JOUR
AU - Hofmann, Karl H.
TI - Théorie directe des groupes de Lie, IV
JO - Séminaire Dubreil. Algèbre et théorie des nombres
PY - 1973-1974
PB - Secrétariat mathématique
VL - 27
IS - 1
SP - 1
EP - 15
LA - fre
UR - http://eudml.org/doc/111468
ER -
References
top- L = Ouvrages et Recueils (Séminaires, Lecture Notes).
- [L-A] Adams ( J.F.). - Lectures on Lie groups. - New York, Amsterdam, W. A. Benjamin, 1969 (Mathematics Lecture Note Series). Zbl0206.31604MR252560
- [L-B] Bourbaki ( N.). - Groupes et algèbres de Lie, Chap. 1, Chap. 2-3, (1972) Chap. 4-6 (1968). - Paris, Hermann, 1960, 1972, 1968 (Act. scient. et ind., 1285, 1349, 1337 ; Bourbaki, 26, 37, 34).
- [L-C1] Campbell ( J.H.). - Introductory treatise on Lie's theory of finite continuous transformation groupe (Reprint of the 1903 édition). - New York, Chelsea publishing Company, 1966. MR197619JFM34.0185.01
- [L-C2] Chevalley ( C.). - Theory of Lie groups, I. - Princeton, Princeton University Press, 1946 (Princeton mathematical Séries, 8). Zbl0063.00842
- [L-C3] Cohn ( P.M.). - Lie groups. - Cambridge, the University Press, 1957 (Cambridge Tracts in Mathematics and mathematical physics, 46). Zbl0084.03201MR103940
- [L-F1] Freudenthal ( H.). - Lie groups. - New Haven, Yale University, 1961 (Yale University Lecture Notes).
- [L-F2] Freudenthal ( H.) and Vries ( H. de). - Linear Lie groups. - New York and London, Academic Press, 1969 (Pure and applied Mathematics. Academic Press, 35). Zbl0377.22001MR260926
- [L-F3] Fröhlich ( A.). - Formal groups. - Berlin, Heidelberg, New York, Springer-Verlag, 1968 (Lecture Notes in Mathematics, 74). Zbl0177.04801MR242837
- [L-H1] Hausner ( M.) and Schwartz ( J.T.). - Lie groups, Lie algebras. - New York, London, Paris, Gordon and Breach, 1968 (Notes on Mathematics and its Applications). Zbl0192.35902MR235065
- [L-H2] Helgason ( S.). - Differential geometry and symmetric spaces. - New York, Academic Press, 1962 (Pures and applied Mathematics. Academic Press, 12). Zbl0111.18101MR145455
- [L-H3] Hermann ( R.). - Lie algebras and quantum méchantes. - New York, W. A. Benjamin, 1970 (Mathematics Lecture Note Series). Zbl0206.26901MR266519
- [L-H4] Hochschild ( G.). - The structure of Lie groups. - San Francisco, Holden-Day, 1965 (Holden-Day Series Mathematics). Zbl0131.02702MR207883
- [L-H5] Hochschild ( G.). - Introduction to affine algebraic groups. - San Francisco, Cambridge, London [etc.], Holden-Day, 1971. Zbl0221.20055MR277535
- [L-H6] Hofmann ( K.H.). - Einführung in die Theorie der Liegruppen, I, II. Vorlesungen an der Universität Tübingen, Tübingen, 1963/64.
- [L-H7] Hofmann ( K.H.). - Introduction to the theory of compact groupe. Part I : 1966/67. Part II : 1968/69. - New Orleans, Tulane University, Department of Mathematics. Zbl0229.22006
- [L-H8] Hofmann ( K.H.) and Mostert ( P.S.). - Elements of compact semigroups. - Colombus, C. E. Merrill, Bocks, 1966. Zbl0161.01901MR209387
- [L-H9] Humphreys ( J.E.). - Introduction to Lie algebras and representation theory. - New York, Heidelberg, Springer-Verlag, 1972 (Graduate Texts in Mathematics, 9). Zbl0254.17004MR499562
- [L-J] Jacobson ( N.). - Lie algebras. - New York, 1962 (Interscience Tracts in pure and applied Mathematics, 10). Zbl0121.27504MR143793
- [L-K] Kaplansky ( I.). - Lie algebras and locally compact groups, Chicago and London, University of Chicago Press, 1971 (Chicago Lectures in Mathematics). Zbl0223.17001MR1324106
- [L-L] Lie ( S.). - Theorie der Transformationsgruppen, I-III. - Leipzig, B. 6. Teubner, 1888, 1890, 1893 ; Reprinted New York, 1970. JFM21.0356.02
- [L-M1] Montgomery ( D.) and Zippin ( L.). - Topological transformation groups, 4th printing. - New York, Interscience Publishers, 1966 (Interscience Tracts in pure and applied Mathematics, 1). Zbl0068.01904MR73104
- [L-M2] Mostow ( G.D.). - Lectures on Lie groups and Lie algebras. - New Heaven, Yale University, 1965 (Yale University Lecture Notes).
- [L-N] Nomizu ( K.). - Lie groups and differential geometry. - Tokyo, The mathematical Society of Japan, 1956 (Publications of the mathematical Society of Japan, 2). Zbl0071.15402MR84166
- [L-P] Pontrjagin ( L.S.). - Topological groups. 2nd edition. - New York, London, Paris, Gordon and Breach, 1966. MR201557
- [L-S1] Sagle ( A.A.) and Walde ( R.E.). - ntroduction to Lie groups and Lie algebras. - New York, Academic Press, 1973 (Pure and applied Mathematics. Academic Press, 51). Zbl0252.22001MR360927
- [L-S2] Samelson ( H.). - Notes on Lie algebras. - New York, Cincinnati, Toronto [etc.], Van Nostrand Reinhold Company, 1969 (Van Nostrand Reinhold mathematical Studies, 23). Zbl0209.06601MR254112
- [L-S3] Séminaire Sophus Lie, 1ere année, 1954/55 : Théorie des algèbres de Lie, topologie des groupes de Lie. - Paris, Secrétariat mathématique, 1955 (Ecole Normale Supérieure). Zbl0068.02102
- [L-S4] Serre ( J.-P.). - Lie algebras and Lie groups. - New York, Amsterdam, W. A. Benjamin, 1965. Zbl0132.27803MR218496
- [L-S5] Serre ( J.-P.). - Algèbres de Lie semi-simples complexes. - New York, Amsterdam, W. A. Benjamin, 1966. Zbl0144.02105MR215886
- [L-S6] Stewart ( I.). - Lie algebras. - Berlin, Heidelberg, New York, Springer-Verlag, 1970 (Lecture Notes in Mathematics, 127). Zbl0213.04201MR263884
- [L-T1] Tits ( J.). - Liesche Gruppen und Algebren, Vorlesungen an der Universität Bonn, 1963/64.
- [L-T2] Tits ( J.). - Tabellen zu den einfachen Lie-Gruppen und ihren Darstellungen. - Berlin, Heidelberg, New York, Springer-Verlag, 1967 (Lecture Notes in Mathematics, 40). Zbl0166.29703MR218489
- [L-T3] Tondeur ( P.). - Introduction to Lie groups and transformation groups. - Berlin, Heidelberg, New York, Springer-Verlag, 1965 (Lecture Notes in Mathematics, 7). Zbl0136.29701MR193175
- [L-W1] Wallach ( N.R.). - Harmonic analysis on homogeneous spaces. - New York, Dekker, 1973 (Pure and applied Mathematics, Dekker, 19). Zbl0265.22022MR498996
- [L-W2] Winter ( D.J.). - Abstract Lie algebras. - Cambridge, The MIT Press, 1972. Zbl0248.17003MR332905
- A = Articles.
- [A-B] Birkiioff ( G.). - Analytical groups, Trans. Amer. math. Soc., t. 43, 1938, p. 61-101. Zbl0018.20502MR1501934
- [A-C1] Cartier ( P.). - Démonstration algébrique de la formule de Hausdorff, Bull. Soc. math. France, t. 84, 1956, p. 241-249. Zbl0072.01605MR86810
- [A-C2] Chen ( S.S.) and Yoh ( R.W.). - The categery of generalized Lie groups, Trans. Amer. math. Soc., 1974 (à paraître). Zbl0291.22003MR352334
- [A-D1] Dynkin ( E.B.). - Computation of the coefficients of the Campbell-Hausdorff formula, Doklady Akad. Nauk SSSR, t. 57, 1947, p. 323-326. Zbl0029.24507MR21940
- [A-D2] Dynkin ( E.B.). - On the representation of the series log(ex ey) for noncommutative x, y by commutators, Mat. Sbornik, t. 25, 1949, p. 155-162. Zbl0041.16102MR30962
- [A-D3] Dynkin ( E.B.). - Normed Lie algebras and analytic groupe, "Lie groups", p. 470-534. - Providence, American mathematical Society, 1962 (Translations, Séries 1, vol. 9) ; [en russe], Uspekhi mat. Nauk, t. 5, 1950, p. 135-186. Zbl0052.26202MR35285
- [A-G1] Goldberg ( K.). - The formal power series for log ex ey , Duke Math. J., t. 23, 1956, p. 13-21. Zbl0070.25203MR82571
- [A-G2] Goldstein ( J.A.). - A Lie product formula for one parameter groups of isometries on Banach spaces, Math. Annalen, t. 186, 1970, p. 299-306. Zbl0184.16402MR264455
- [A-G3] Goto ( M.). - On an arcwise connected subgroup of a Lie group, Froc. Amer. math. Soc., t. 20, 1969, p. 157-162. Zbl0182.04602MR233923
- [A-H1] Hausdorff ( F.). - Die symbolische Exponentialformel in der Gruppentheorie, LeipzigBerichte, Math. Phys. K1., t. 58, 1906, p. 19-48. Zbl37.0176.02JFM37.0176.02
- [A-H2] Hawthorne ( T.). - Computer calculation of the coefficients up to degree 9 of the Campbell-Hausdorff formula in the Dynkin form, Tulane Univ., 1973 (à paraître).
- [A-H3] Hofmann ( K.H.). - Die Formel von Campbell-Hausdorff-Dynkin und die Definition Liescher Gruppen, "Theory of sets and topology, Volume in honour of Felix Hausdorff", p. 251-264. - Berlin, VEB Deutscher Verlag der Wissenschaften, 1972? Zbl0264.22008MR344377
- [A-H4] Hofmann ( K.H.). - Analytic groups without analysis, Proceedings of the Conference on topological groups and Lie groups [1974. Rome, Istituto di Alta Matematica] (à paraître). MR409722
- [A-K1] Kaplansky ( I.). - Infinite dimensional Lie algebras, Scripta Math., New York, t. 29, 1973, p. 237-241. Zbl0267.17016MR404368
- [A-K2] Keimel ( K.). - Eine Exponentialfunktion für kempakte abelsche Halbgruppen, Math. Z., t. 96, 1967, p. 7-25. Zbl0146.03203MR202906
- [A-K3] Kuiper ( N.H.). - The homotopy type of the unitary group of Hilbert space, Topology, Oxford, t. 3, 1965, p. 19-30. Zbl0129.38901MR179792
- [A-L1] Lashof ( R.K.). - Lie algebras of locally compact groups, Pacifie J. Math., t. 7, 1957, p. 1145-1162. Zbl0081.02204MR92104
- [A-L2] Laugwitz ( D.). - Über unendliche kontinuierliche Gruppen, I., Math. Annalen, t. 130, 1955, p. 337-350 ; II., Bayer. Akad. Wiss., math.-nat. Klasse, Sitzungsberichte, 1956, p. 261-286. Zbl0065.26203MR75535
- [A-L3] Lazard ( M.) et Tits ( J.). - Domaines d'injectivité de l'application exponentielle, Topology, t. 4, 1966, p. 315-322. Zbl0156.03203MR185048
- [A-M1] Maissen ( B.). - Lie Gruppen mit Banachräumen als Parameterräume, Acta Math., Uppsala, t. 108, 1962, p. 229-269. Zbl0207.33701MR142693
- [A-M2] Michel ( J.). - Rayons de convergence de la formule de Campbell-Hausdorff, Séminaire Dubreil : Algèbre, 27e année, 1973/74.
- [A-M3] Milnor ( J.W.) and Moore ( J.C.). - On the structure of Hopf algebras, Annals of Math., Series 2, t. 81, 1965, p. 211-264. Zbl0163.28202MR174052
- [A-S1] Schue ( J.R.). - Hilbort space methods in the theory of Lie algebras, Trans. Amer. math. Soc., t. 95, 1960, p. 69-80. Zbl0093.30601MR117575
- [A-S2] Swierczkowski ( S.). - Embedding theorems for local analytic groups, Acta Math., Uppsala, t. 114, 1965, p. 207-235. Zbl0135.07002MR180624
- [A-V1] Van Est ( W.T.). - Local and global groups, Indag. Math., Amsterdam, t. 24, 1962, p. 391-425. Zbl0105.02405
- [A-V2] Van Est ( W.T.) and Kortenhagen ( T.J.). - Non-enlargible Lie algebras, Indag. Math., Amsterdam, t. 26, 1964, p. 15-31. Zbl0121.27503MR160851
- [A-V3] Vasilescu ( F.H.). - Normed Lie algebras, Canadian J. Math., t. 24, 1972, p. 580-591. Zbl0237.17006MR298422
- [A-V4] Viennot ( G.). - Factorisation des monoïdes libres et bases pour des algè- bres de Lie libres, Séminaire Dubreil : Algèbre, 27e année, 1973/74.
- [A-W] Wallace ( D.). - Permutation groupoids, Dissertation, Tulane Univ., 1974.
- [A-Y] Yamabe ( H.). - On an arcwise connected subgroup of a Lie group, Osaka Math. J., t. 2, 1950, p. 13-14. Zbl0039.02101MR36766
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.