Groups of strings

Journal of Lie Theory

Volumn 13, Issue 2, 2003, Pages 359-382

  Wojtyński, Wojciech ^a,b  

^a UNIVERSITY OF WARSAW   (Poland)

^b INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042361892     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

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2. Bourbaki, N., "Elements of Mathematics, Lie Groups and Lie Algebras," Part I, Ch. 1-3. Herman Publishers, 1971, English edition Addison Wesley 1975.
3. Dynkin, E. B., Normirovannye algebry Lie i analticeskye gruppy, Uspehi Mat. Nauk 5 (1950), 134-186 [in Russian].
4. Hilbert, D., Beweis für die Darstellbarkeit der ganzen Zahlen durch eine Anzahl n-ter Potenzen (Waringsches Problem), Math. Ann. 67 (1909), 281-300.
5. Hausner, M., and J. Schwartz, "Lie Groups Lie Algebras," Gordon and Breach Science Publishers, 1969.
6. Magnus, W., A. Karrass, and D. Solitar "Combinatorial Group Theory: Presentation of Groups in Terms of Generators and Relations," John Wiley & Sons, 1966.
7. Milnor, J., Remarks on infinite dimensional Lie groups, Proc. Summer School on Quantum Gravity, B. DeWitt Ed., Les Houches, 1983.
8. Palis, J., Vector fields generate few diffeomorphisms, Bull. Am. Math. Soc. 80 (1973), 503-505.
9. Riss, J., Élémentes de calcul différentiel et théorie des distributions sur les groupes abéliens localement compacts, Acta Math. 89 (1953), 45-105.
10. Serre, J.-P., "Lie Algebras and Lie Groups," Benjamin, 1965.
11. Su-Ching Chen, and R. Yoh, The category of generalized Lie groups, Trans. Amer. Math. Soc. 199 (1974), 281-294.
12. Wojtyński, W., One-parameter subgroups and the B-C-H formula, Studia Math. 111 (1994), 163-185.
13. _, Quasinilpotent Banach-Lie algebras are Baker-Campbell-Hausdorff, J. Funct. Anal. 153, (1998) 405-413.
14. _, An introduction to string Lie theory, in: Martin Peinador, E., and J. Núñez Garcia (Eds.) "Nuclear Groups and Lie Groups," Heldermann-Verlag, 2001; 227-238.
15. _, Effective integration of Lie algebras, submitted.