@article{SD_1973-1974__27_1_A4_0, author = {Hofmann, Karl Heinrich}, title = {Th\'eorie directe des groupes de {Lie,} {IV}}, journal = {S\'eminaire Dubreil. Alg\`ebre et th\'eorie des nombres}, note = {talk:4}, publisher = {Secr\'etariat math\'ematique}, volume = {27}, number = {1}, year = {1973-1974}, zbl = {0335.22007}, mrnumber = {417344}, language = {fr}, url = {http://www.numdam.org/item/SD_1973-1974__27_1_A4_0/} }
TY - JOUR AU - Hofmann, Karl Heinrich TI - Théorie directe des groupes de Lie, IV JO - Séminaire Dubreil. Algèbre et théorie des nombres N1 - talk:4 PY - 1973-1974 DA - 1973-1974/// VL - 27 IS - 1 PB - Secrétariat mathématique UR - http://www.numdam.org/item/SD_1973-1974__27_1_A4_0/ UR - https://zbmath.org/?q=an%3A0335.22007 UR - https://www.ams.org/mathscinet-getitem?mr=417344 LA - fr ID - SD_1973-1974__27_1_A4_0 ER -
Hofmann, Karl H. Théorie directe des groupes de Lie, IV. Séminaire Dubreil. Algèbre et théorie des nombres, Tome 27 (1973-1974) no. 1, Exposé no. 4, 15 p. http://www.numdam.org/item/SD_1973-1974__27_1_A4_0/
L = Ouvrages et Recueils (Séminaires, Lecture Notes).
[L-A] Lectures on Lie groups. - New York, Amsterdam, W. A. Benjamin, 1969 (Mathematics Lecture Note Series). | MR 252560 | Zbl 0206.31604
. -[L-B] 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] Introductory treatise on Lie's theory of finite continuous transformation groupe (Reprint of the 1903 édition). - New York, Chelsea publishing Company, 1966. | JFM 34.0185.01 | MR 197619
. -[L-C2] Theory of Lie groups, I. - Princeton, Princeton University Press, 1946 (Princeton mathematical Séries, 8). | Zbl 0063.00842
. -[L-C3] Lie groups. - Cambridge, the University Press, 1957 (Cambridge Tracts in Mathematics and mathematical physics, 46). | MR 103940 | Zbl 0084.03201
. -[L-F1] Lie groups. - New Haven, Yale University, 1961 (Yale University Lecture Notes).
. -[L-F2] Linear Lie groups. - New York and London, Academic Press, 1969 (Pure and applied Mathematics. Academic Press, 35). | MR 260926 | Zbl 0377.22001
and . -[L-F3] Formal groups. - Berlin, Heidelberg, New York, Springer-Verlag, 1968 (Lecture Notes in Mathematics, 74). | MR 242837 | Zbl 0177.04801
. -[L-H1] Lie groups, Lie algebras. - New York, London, Paris, Gordon and Breach, 1968 (Notes on Mathematics and its Applications). | MR 235065 | Zbl 0192.35902
and . -[L-H2] Differential geometry and symmetric spaces. - New York, Academic Press, 1962 (Pures and applied Mathematics. Academic Press, 12). | MR 145455 | Zbl 0111.18101
. -[L-H3] Lie algebras and quantum méchantes. - New York, W. A. Benjamin, 1970 (Mathematics Lecture Note Series). | MR 266519 | Zbl 0206.26901
. -[L-H4] The structure of Lie groups. - San Francisco, Holden-Day, 1965 (Holden-Day Series Mathematics). | MR 207883 | Zbl 0131.02702
. -[L-H5] Introduction to affine algebraic groups. - San Francisco, Cambridge, London [etc.], Holden-Day, 1971. | MR 277535 | Zbl 0221.20055
. -[L-H6] Einführung in die Theorie der Liegruppen, I, II. Vorlesungen an der Universität Tübingen, Tübingen, 1963/64.
. -[L-H7] Introduction to the theory of compact groupe. Part I : 1966/67. Part II : 1968/69. - New Orleans, Tulane University, Department of Mathematics. | Zbl 0229.22006
. -[L-H8] Elements of compact semigroups. - Colombus, C. E. Merrill, Bocks, 1966. | MR 209387 | Zbl 0161.01901
and . -[L-H9] Introduction to Lie algebras and representation theory. - New York, Heidelberg, Springer-Verlag, 1972 (Graduate Texts in Mathematics, 9). | MR 499562 | Zbl 0254.17004
. -[L-J] Lie algebras. - New York, 1962 (Interscience Tracts in pure and applied Mathematics, 10). | MR 143793 | Zbl 0121.27504
. -[L-K] Lie algebras and locally compact groups, Chicago and London, University of Chicago Press, 1971 (Chicago Lectures in Mathematics). | MR 1324106 | Zbl 0223.17001
. -[L-L] Theorie der Transformationsgruppen, I-III. - Leipzig, B. 6. Teubner, 1888, 1890, 1893 ; Reprinted New York, 1970. | JFM 21.0356.02
. -[L-M1] Topological transformation groups, 4th printing. - New York, Interscience Publishers, 1966 (Interscience Tracts in pure and applied Mathematics, 1). | MR 73104 | Zbl 0068.01904
and . -[L-M2] Lectures on Lie groups and Lie algebras. - New Heaven, Yale University, 1965 (Yale University Lecture Notes).
. -[L-N] Lie groups and differential geometry. - Tokyo, The mathematical Society of Japan, 1956 (Publications of the mathematical Society of Japan, 2). | MR 84166 | Zbl 0071.15402
. -[L-P] Topological groups. 2nd edition. - New York, London, Paris, Gordon and Breach, 1966. | MR 201557
. -[L-S1] ntroduction to Lie groups and Lie algebras. - New York, Academic Press, 1973 (Pure and applied Mathematics. Academic Press, 51). | MR 360927 | Zbl 0252.22001
and . -[L-S2] Notes on Lie algebras. - New York, Cincinnati, Toronto [etc.], Van Nostrand Reinhold Company, 1969 (Van Nostrand Reinhold mathematical Studies, 23). | MR 254112 | Zbl 0209.06601
. -[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). | Zbl 0068.02102
[L-S4] Lie algebras and Lie groups. - New York, Amsterdam, W. A. Benjamin, 1965. | MR 218496 | Zbl 0132.27803
. -[L-S5] Algèbres de Lie semi-simples complexes. - New York, Amsterdam, W. A. Benjamin, 1966. | MR 215886 | Zbl 0144.02105
. -[L-S6] Lie algebras. - Berlin, Heidelberg, New York, Springer-Verlag, 1970 (Lecture Notes in Mathematics, 127). | MR 263884 | Zbl 0213.04201
. -[L-T1] Liesche Gruppen und Algebren, Vorlesungen an der Universität Bonn, 1963/64.
. -[L-T2] Tabellen zu den einfachen Lie-Gruppen und ihren Darstellungen. - Berlin, Heidelberg, New York, Springer-Verlag, 1967 (Lecture Notes in Mathematics, 40). | MR 218489 | Zbl 0166.29703
. -[L-T3] Introduction to Lie groups and transformation groups. - Berlin, Heidelberg, New York, Springer-Verlag, 1965 (Lecture Notes in Mathematics, 7). | MR 193175 | Zbl 0136.29701
. -[L-W1] Harmonic analysis on homogeneous spaces. - New York, Dekker, 1973 (Pure and applied Mathematics, Dekker, 19). | MR 498996 | Zbl 0265.22022
. -[L-W2] Abstract Lie algebras. - Cambridge, The MIT Press, 1972. | MR 332905 | Zbl 0248.17003
. -A = Articles.
[A-B] Analytical groups, Trans. Amer. math. Soc., t. 43, 1938, p. 61-101. | MR 1501934 | Zbl 0018.20502
. -[A-C1] Démonstration algébrique de la formule de Hausdorff, Bull. Soc. math. France, t. 84, 1956, p. 241-249. | EuDML 86903 | Numdam | MR 86810 | Zbl 0072.01605
. -[A-C2] The categery of generalized Lie groups, Trans. Amer. math. Soc., 1974 (à paraître). | MR 352334 | Zbl 0291.22003
and . -[A-D1] Computation of the coefficients of the Campbell-Hausdorff formula, Doklady Akad. Nauk SSSR, t. 57, 1947, p. 323-326. | MR 21940 | Zbl 0029.24507
. -[A-D2] On the representation of the series log(ex ey) for noncommutative x, y by commutators, Mat. Sbornik, t. 25, 1949, p. 155-162. | MR 30962 | Zbl 0041.16102
. -[A-D3] 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. | MR 35285 | Zbl 0052.26202
. -[A-G1] The formal power series for log ex ey , Duke Math. J., t. 23, 1956, p. 13-21. | MR 82571 | Zbl 0070.25203
. -[A-G2] A Lie product formula for one parameter groups of isometries on Banach spaces, Math. Annalen, t. 186, 1970, p. 299-306. | EuDML 161995 | MR 264455 | Zbl 0184.16402
. -[A-G3] On an arcwise connected subgroup of a Lie group, Froc. Amer. math. Soc., t. 20, 1969, p. 157-162. | MR 233923 | Zbl 0182.04602
. -[A-H1] Die symbolische Exponentialformel in der Gruppentheorie, Leipzig Berichte, Math. Phys. K1., t. 58, 1906, p. 19-48. | JFM 37.0176.02
. -[A-H2] 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] 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? | MR 344377 | Zbl 0264.22008
. -[A-H4] Analytic groups without analysis, Proceedings of the Conference on topological groups and Lie groups [1974. Rome, Istituto di Alta Matematica] (à paraître). | MR 409722
. -[A-K1] Infinite dimensional Lie algebras, Scripta Math., New York, t. 29, 1973, p. 237-241. | MR 404368 | Zbl 0267.17016
. -[A-K2] Eine Exponentialfunktion für kempakte abelsche Halbgruppen, Math. Z., t. 96, 1967, p. 7-25. | EuDML 170662 | MR 202906 | Zbl 0146.03203
. -[A-K3] The homotopy type of the unitary group of Hilbert space, Topology, Oxford, t. 3, 1965, p. 19-30. | MR 179792 | Zbl 0129.38901
. -[A-L1] Lie algebras of locally compact groups, Pacifie J. Math., t. 7, 1957, p. 1145-1162. | MR 92104 | Zbl 0081.02204
. -[A-L2] 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. | EuDML 160467 | MR 75535 | Zbl 0065.26203
. -[A-L3] Domaines d'injectivité de l'application exponentielle, Topology, t. 4, 1966, p. 315-322. | MR 185048 | Zbl 0156.03203
et ). -[A-M1] Lie Gruppen mit Banachräumen als Parameterräume, Acta Math., Uppsala, t. 108, 1962, p. 229-269. | MR 142693 | Zbl 0207.33701
. -[A-M2] Rayons de convergence de la formule de Campbell-Hausdorff, Séminaire Dubreil : Algèbre, 27e année, 1973/74.
. -[A-M3] On the structure of Hopf algebras, Annals of Math., Series 2, t. 81, 1965, p. 211-264. | MR 174052 | Zbl 0163.28202
and . -[A-S1] Hilbort space methods in the theory of Lie algebras, Trans. Amer. math. Soc., t. 95, 1960, p. 69-80. | MR 117575 | Zbl 0093.30601
. -[A-S2] Embedding theorems for local analytic groups, Acta Math., Uppsala, t. 114, 1965, p. 207-235. | MR 180624 | Zbl 0135.07002
. -[A-V1] Local and global groups, Indag. Math., Amsterdam, t. 24, 1962, p. 391-425. | Zbl 0105.02405
. -[A-V2] Non-enlargible Lie algebras, Indag. Math., Amsterdam, t. 26, 1964, p. 15-31. | MR 160851 | Zbl 0121.27503
and . -[A-V3] Normed Lie algebras, Canadian J. Math., t. 24, 1972, p. 580-591. | MR 298422 | Zbl 0237.17006
. -[A-V4] Factorisation des monoïdes libres et bases pour des algè- bres de Lie libres, Séminaire Dubreil : Algèbre, 27e année, 1973/74.
. -[A-W] Permutation groupoids, Dissertation, Tulane Univ., 1974.
. -[A-Y] On an arcwise connected subgroup of a Lie group, Osaka Math. J., t. 2, 1950, p. 13-14. | MR 36766 | Zbl 0039.02101
. -