[Groupes de Steinberg pour les paires de Jordan]
Nous annonçons les résultats suivants relatifs aux groupes élémentaires projectifs et aux groupes de Steinberg associés aux paires de Jordan V munies d'une graduation par un système de racines Φ localement fini : Le groupe élémentaire projectif
We announce results on projective elementary groups and on Steinberg groups associated to Jordan pairs V with a grading by a locally finite 3-graded root system Φ: The projective elementary group
Accepté le :
Publié le :
Ottmar Loos 1 ; Erhard Neher 2
@article{CRMATH_2010__348_15-16_839_0, author = {Ottmar Loos and Erhard Neher}, title = {Steinberg groups for {Jordan} pairs}, journal = {Comptes Rendus. Math\'ematique}, pages = {839--842}, publisher = {Elsevier}, volume = {348}, number = {15-16}, year = {2010}, doi = {10.1016/j.crma.2010.07.012}, language = {en}, }
Ottmar Loos; Erhard Neher. Steinberg groups for Jordan pairs. Comptes Rendus. Mathématique, Volume 348 (2010) no. 15-16, pp. 839-842. doi : 10.1016/j.crma.2010.07.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.07.012/
[1] Groupes et algèbres de Lie, Masson, Paris, 1981 (Chapitres 4–6)
[2] Groups with Steinberg Relations and Coordinatization of Polygonal Geometries, Memoirs, vol. 185, Amer. Math. Soc., 1977
[3] Stable range and linear groups for alternative rings, Geom. Dedicata, Volume 14 (1983), pp. 177-188
[4] The Classical Groups and K-Theory, Grundlehren, vol. 291, Springer-Verlag, 1989
[5] An Elementary Approach to Bounded Symmetric Domains, Rice University, Houston, TX, 1969
[6] Jordan Pairs, Lecture Notes in Mathematics, vol. 460, Springer-Verlag, Berlin, 1975
[7] On algebraic groups defined by Jordan pairs, Nagoya Math. J., Volume 74 (1979), pp. 23-66
[8] Elementary groups and stability for Jordan pairs, K-Theory, Volume 9 (1994), pp. 77-116
[9] Steinberg groups and simplicity of elementary groups defined by Jordan pairs, J. Algebra, Volume 186 (1996) no. 1, pp. 207-234
[10] Locally finite root systems, Mem. Amer. Math. Soc., Volume 171 (2004) no. 811, p. x+214
[11] Systèmes de racines 3-gradués, C. R. Acad. Sci. Paris, Ser. I, Volume 310 (1990), pp. 687-690
[12] Uniqueness and presentation of Kac–Moody groups over fields, J. Algebra, Volume 105 (1987), pp. 542-573
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- Nonassociative algebras and groups with property (T), International Journal of Algebra and Computation, Volume 24 (2014) no. 03, p. 347 | DOI:10.1142/s0218196714500155
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