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Volumn 150, Issue 4, 2014, Pages 713-728

Abstract simplicity of locally compact Kac-Moody groups

Author keywords

Abstract simplicity; Complete Kac Moody groups; Contraction groups; Root groups; Topological Kac Moody groups

Indexed keywords


EID: 84900421395     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0010437X13007598     Document Type: Article
Times cited : (12)

References (23)
  • 1
    • 55349088820 scopus 로고    scopus 로고
    • Buildings, in Theory and applications
    • Springer, New York
    • P. Abramenko and K. S. Brown, Buildings, in Theory and applications, Graduate Texts in Mathematics, vol. 248 (Springer, New York, 2008).
    • (2008) Graduate Texts in Mathematics , vol.248
    • Abramenko, P.1    Brown, K.S.2
  • 2
    • 84893533354 scopus 로고    scopus 로고
    • Contraction groups in complete kac moody groups
    • U. Baumgartner, J. Ramagge and B. Remy, Contraction groups in complete Kac-Moody groups, Groups Geom. Dyn. 2 (2008), 337-352.
    • (2008) Groups Geom. Dyn. , vol.2 , pp. 337-352
    • Baumgartner, U.1    Ramagge, J.2    Remy, B.3
  • 3
    • 68649125881 scopus 로고    scopus 로고
    • Abstract homomorphisms of split kac moody groups
    • P.-E. Caprace, Abstract homomorphisms of split Kac-Moody groups, Mem. Amer. Math. Soc. 198 (2009), xvi+84.
    • (2009) Mem. Amer. Math. Soc. , vol.198
    • Caprace, P.-E.1
  • 4
    • 44649190423 scopus 로고    scopus 로고
    • Abstract simplicity of complete kac moody groups over finite fields
    • L. Carbone, M. Ershov and G. Ritter, Abstract simplicity of complete Kac-Moody groups over finite fields, J. Pure Appl. Algebra 212 (2008), 2147-2162.
    • (2008) J. Pure Appl. Algebra , vol.212 , pp. 2147-2162
    • Carbone, L.1    Ershov, M.2    Ritter, G.3
  • 5
    • 0347529000 scopus 로고    scopus 로고
    • Existence of lattices in kac moody groups over finite fields
    • L. Carbone and H. Garland, Existence of lattices in Kac-Moody groups over finite fields, Commun. Contemp. Math. 5 (2003), 813-867.
    • (2003) Commun. Contemp. Math. , vol.5 , pp. 813-867
    • Carbone, L.1    Garland, H.2
  • 6
    • 79451473495 scopus 로고    scopus 로고
    • Decomposing locally compact groups into simple pieces
    • P.-E. Caprace and N. Monod, Decomposing locally compact groups into simple pieces, Math. Proc. Cambridge Philos. Soc. 150 (2011), 97-128.
    • (2011) Math. Proc. Cambridge Philos. Soc. , vol.150 , pp. 97-128
    • Caprace, P.-E.1    Monod, N.2
  • 7
    • 60949101288 scopus 로고    scopus 로고
    • Simplicity and superrigidity of twin building lattices
    • P.-E. Caprace and B. Rémy, Simplicity and superrigidity of twin building lattices, Invent. Math. 176 (2009), 169-221.
    • (2009) Invent. Math. , vol.176 , pp. 169-221
    • Caprace, P.-E.1    Rémy, B.2
  • 11
    • 0003774747 scopus 로고
    • third edition (Cambridge University Press, Cambridge
    • V. G. Kac, Infinite-dimensional Lie algebras, third edition (Cambridge University Press, Cambridge, 1990).
    • (1990) Infinite-dimensional Lie Algebras
    • Kac, V.G.1
  • 12
    • 0037493836 scopus 로고    scopus 로고
    • Kac-Moody groups, their flag varieties and representation theory
    • Birkhäluser, Boston
    • S. Kumar, Kac-Moody groups, their flag varieties and representation theory, Progress in Mathematics, vol. 204 (Birkhäluser, Boston, 2002).
    • (2002) Progress in Mathematics , vol.204
    • Kumar, S.1
  • 13
    • 0346918602 scopus 로고
    • Construction du groupe de kac moody et applications
    • O. Mathieu, Construction du groupe de Kac-Moody et applications, C. R. Acad. Sci. Paris Sér. I Math. 306 (1988), 227-230.
    • (1988) C. R. Acad. Sci. Paris Sér. i Math. , vol.306 , pp. 227-230
    • Mathieu, O.1
  • 15
    • 4944224407 scopus 로고    scopus 로고
    • Topological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups
    • with an appendix by P. Bonvin
    • B. Rémy, Topological simplicity, commensurator super-rigidity and non-linearities of Kac-Moody groups, Geom. Funct. Anal. 14 (2004), 810-852; with an appendix by P. Bonvin.
    • (2004) Geom. Funct. Anal. , vol.14 , pp. 810-852
    • Rémy, B.1
  • 17
    • 33750921975 scopus 로고    scopus 로고
    • Topological groups of Kac-Moody type, right-angled twinnings and their lattices
    • B. Rémy and M. Ronan, Topological groups of Kac-Moody type, right-angled twinnings and their lattices, Comment. Math. Helv. 81 (2006), 191-219.
    • (2006) Comment. Math. Helv. , vol.81 , pp. 191-219
    • Rémy, B.1    Ronan, M.2
  • 18
    • 77950537592 scopus 로고    scopus 로고
    • Powers of Coxeter elements in infinite groups are reduced
    • D. E. Speyer, Powers of Coxeter elements in infinite groups are reduced, Proc. Amer. Math. Soc. 137 (2009), 1295-1302.
    • (2009) Proc. Amer. Math. Soc. , vol.137 , pp. 1295-1302
    • Speyer, D.E.1
  • 19
    • 0003208804 scopus 로고    scopus 로고
    • Linear algebraic groups
    • second edn Birkhäuser, Boston, MA
    • T. A. Springer, Linear algebraic groups, second edn, Progress in Mathematics, vol. 9 (Birkhäuser, Boston, MA, 1998).
    • (1998) Progress in Mathematics , vol.9
    • Springer, T.A.1
  • 20
    • 0000343919 scopus 로고
    • Uniqueness and presentation of kac moody groups over fields
    • J. Tits, Uniqueness and presentation of Kac-Moody groups over fields, J. Algebra 105 (1987), 542-573.
    • (1987) J. Algebra , vol.105 , pp. 542-573
    • Tits, J.1
  • 21
    • 17544372719 scopus 로고
    • Groupes Associés Aux Algèbres De Kac Moody
    • no. 177-178, Exp. 700
    • J. Tits, Groupes associés aux algèbres de Kac-Moody, in Astérisque; Séminaire Bourbaki, Vol. 1988/89 (1989), 7-31; no. 177-178, Exp. No. 700.
    • (1989) Astérisque; Séminaire Bourbaki , vol.1988-1989 , pp. 7-31
    • Tits, J.1
  • 22
    • 0040575305 scopus 로고
    • The mautner phenomenon for p-adic lie groups
    • J. S. P. Wang, The Mautner phenomenon for p-adic Lie groups, Math. Z. 185 (1984), 403-412.
    • (1984) Math. Z. , vol.185 , pp. 403-412
    • Wang, J.S.P.1
  • 23
    • 84900403510 scopus 로고    scopus 로고
    • The nub of an automorphism of a totally disconnected, locally compact group
    • to appear
    • G. Willis, The nub of an automorphism of a totally disconnected, locally compact group, Ergodic Theory Dynam. Systems, to appear (2012).
    • (2012) Ergodic Theory Dynam. Systems
    • Willis, G.1


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