The authors (2022)

HIGHLIGHTS

  • who: Transformation Groups and colleagues from the 5392, Germany have published the paper: The Authors (2022), in the Journal: (JOURNAL)
  • what: The authors determine the symmetrizable algebraically simply connected endowed with the Kac-Peterson topology.

SUMMARY

    N(g) π1 (G(Π)) ~ × C2=Z This statement holds in the symmetrizable case. While in the classical finite-dimensional Lie case, one has a topological Iwasawa decomposition G=K × A × U + with A and U + contractible, implying π1 (K) ~=π1 (G), it is currently unknown whether the corresponding Iwasawa decomposition in the general Kac-Moody . . .

     

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