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Volume 150 - February 2014

Contents

Page 6 of 6

Research Article

  • Abstract simplicity of locally compact Kac–Moody groups

  • Part of:
  • Timothée Marquis
  • Published online by Cambridge University Press:
    10 March 2014, pp. 713-728
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  • In this paper, we establish that complete Kac–Moody groups over finite fields are abstractly simple. The proof makes essential use of Mathieu and Rousseau’s construction of complete Kac–Moody groups over fields. This construction has the advantage that both real and imaginary root spaces of the Lie algebra lift to root subgroups over arbitrary fields. A key point in our proof is the fact, of independent interest, that both real and imaginary root subgroups are contracted by conjugation of positive powers of suitable Weyl group elements.

Back Cover (IBC, OBC) and matter

  • COM volume 150 issue 4 Cover and Back matter

  • Published online by Cambridge University Press:
    07 May 2014, pp. b1-b2
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Front Cover (OFC, IFC) and matter

  • COM volume 150 issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    07 May 2014, pp. f1-f4
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Page 6 of 6