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@article{AL_2009_48_4_a1, author = {E. I. Bunina}, title = {Automorphisms of elementary adjoint {Chevalley} groups of types $A_l$, $D_l$, and $E_l$ over local rings with~1/2}, journal = {Algebra i logika}, pages = {443--470}, publisher = {mathdoc}, volume = {48}, number = {4}, year = {2009}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2009_48_4_a1/} }
TY - JOUR AU - E. I. Bunina TI - Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with~1/2 JO - Algebra i logika PY - 2009 SP - 443 EP - 470 VL - 48 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/AL_2009_48_4_a1/ LA - ru ID - AL_2009_48_4_a1 ER -
E. I. Bunina. Automorphisms of elementary adjoint Chevalley groups of types $A_l$, $D_l$, and $E_l$ over local rings with~1/2. Algebra i logika, Tome 48 (2009) no. 4, pp. 443-470. http://geodesic.mathdoc.fr/item/AL_2009_48_4_a1/
[1] R. Steinberg, “Automorphisms of finite linear groups”, Can. J. Math., 12 (1960), 606–615 | MR | Zbl
[2] J. E. Humphreys, “On the automorphisms of infinite Chevalley groups”, Can. J. Math., 21 (1969), 908–911 | MR | Zbl
[3] A. Borel, J. Tits, “Homomorphismes “abstraits” de groupes algébriques simples”, Ann. Math. (2), 97 (1973), 499–571 | DOI | MR | Zbl
[4] R. W. Carter, Y. Chen, “Automorphisms of affine Kac–Moody groups and related Chevalley groups over rings”, J. Algebra, 155:1 (1993), 44–94 | DOI | MR | Zbl
[5] Yu Chen, “Isomorphic Chevalley groups over integral domains”, Rend. Semin. Mat. univ. Padova, 92 (1994), 231–237 | MR | Zbl
[6] Yu Chen, “On representations of elementary subgroups of Chevalley groups over algebras”, Proc. Am. Math. Soc., 123:8 (1995), 2357–2361 | DOI | MR | Zbl
[7] Yu Chen, “Automorphisms of simple Chevalley groups over $\mathbb Q$-algebras”, Tôhoku Math. J. II Ser., 47:1 (1995), 81–97 | DOI | MR | Zbl
[8] Yu Chen, “Isomorphisms of adjoint Chevalley groups over integral domains”, Trans. Am. Math. Soc., 348:2 (1996), 521–541 | DOI | MR | Zbl
[9] Yu Chen, “Isomorphisms of Chevalley groups over algebras”, J. Algebra, 226:2 (2000), 719–741 | DOI | MR | Zbl
[10] E. Abe, “Avtomorfizmy grupp Shevalle nad kommutativnymi koltsami”, Algebra i analiz, 5:2 (1993), 74–90 | MR | Zbl
[11] V. M. Petechuk, “Avtomorfizmy grupp $\mathrm{SL}_n$, $\mathrm{GL}_n$ nad nekotorymi lokalnymi koltsami”, Matem. zametki, 28:2 (1980), 187–204 | MR | Zbl
[12] W. C. Waterhouse, Introduction to affine group schemes, Grad. Texts Math., 66, Springer-Verlag, New York et al., 1979 | MR | Zbl
[13] V. M. Petechuk, “Avtomorfizmy matrichnykh grupp nad kommutativnymi koltsami”, Matem. sb., 117(159):4 (1982), 534–547 | MR | Zbl
[14] Fuan Li, Zunxian Li, “Automorphisms of $\mathrm{SL}_3(R)$, $\mathrm{GL}_3(R)$”, Contemp. Math., 82 (1984), 47–52
[15] I. Z. Golubchik, A. V. Mikhalev, “Izomorfizmy unitarnykh grupp nad assotsiativnymi koltsami”, Zap. nauch. semin. LOMI AN SSSR, 132, 1983, 97–109 | MR
[16] J. E. Humphreys, Introduction to Lie algebras and representation theory, 2nd ed., Grad. Texts Math., 9, Springer-Verlag, New York et al., 1978 | MR | Zbl
[17] N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie, Chapitres IV, V et VI: Groupes de Coxeter et systèmes de Tits. Groupes engendrés par des réflexions. Systèmes de racines, Actualites Sci. Industr., 1337, Hermann, Paris, 1968 | MR | Zbl
[18] R. Steinberg, Lectures on Chevalley groups, Yale Univ., 1967 | MR
[19] R. W. Carter, Simple groups of Lie type, Reprint of the 1972 orig., Wiley Classics Lib., John Wiley Sons, New York, 1989 | MR | Zbl
[20] N. Vavilov, E. Plotkin, “Chevalley groups over commutative rings. I. Elementary calculations”, Acta Appl. Math., 45:1 (1996), 73–113 | DOI | MR | Zbl
[21] E. Abe, “Chevalley groups over local rings”, Tôhoku Math. J. II Ser., 21:3 (1969), 474–494 | DOI | MR | Zbl
[22] B. R. McDonald, “Automorphisms of $\mathrm{GL}_n(R)$”, Trans. Am. Math. Soc., 215 (1976), 145–159 | DOI | MR | Zbl