Non-archimedean induced representations of compact zerodimensional groups

Luc Duponcheel

Compositio Mathematica (1986)

  • Volume: 57, Issue: 1, page 3-13
  • ISSN: 0010-437X

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Duponcheel, Luc. "Non-archimedean induced representations of compact zerodimensional groups." Compositio Mathematica 57.1 (1986): 3-13. <http://eudml.org/doc/89737>.

@article{Duponcheel1986,
author = {Duponcheel, Luc},
journal = {Compositio Mathematica},
keywords = {compact groups; non-Archimedean valud field; induced representations; irreducible unitary representations; matrix groups; non-Archimedean Banach spaces},
language = {eng},
number = {1},
pages = {3-13},
publisher = {Martinus Nijhoff Publishers},
title = {Non-archimedean induced representations of compact zerodimensional groups},
url = {http://eudml.org/doc/89737},
volume = {57},
year = {1986},
}

TY - JOUR
AU - Duponcheel, Luc
TI - Non-archimedean induced representations of compact zerodimensional groups
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 57
IS - 1
SP - 3
EP - 13
LA - eng
KW - compact groups; non-Archimedean valud field; induced representations; irreducible unitary representations; matrix groups; non-Archimedean Banach spaces
UR - http://eudml.org/doc/89737
ER -

References

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  1. [1] A.C.M. Van Rooij: Non -archimedean Functional Analysis, Marcel Dekker, Inc.New York and Basel (1978). Zbl0396.46061MR512894
  2. [2] W.H. Schikhof: Non-archimedean representations of compact groups, Compt. Math.23 (1971) 215-232. Zbl0224.43009MR289721
  3. [3] A.C.M. Van Rooij and W.H. Schikhof: Grouprepresentations in non-archimedean Banach spaces, Bull. Soc. Math. France Mém.39-40 (1974) 329-340. Zbl0294.22003
  4. [4] A.C.M. Van Rooij: Non-archimedean representations of compact groups, Math. Inst. Nijmegen, Report 7704 (1977). 
  5. [5] L. Duponcheel: Non archimedean induced group algebra modules, Indag. Math., Vol. 45, Fasc. 1 (1983). Zbl0513.22005MR695587
  6. [6] L. Duponcheel: Non-archimedean quasi-invariant measures on homogeneous spaces, Indag. Math., Vol. 45, Fasc. 1 (1983). Zbl0513.43002MR695588
  7. [7] L. Duponcheel: Non-archimedean (uniformly) continuous measures on homogeneous spaces, Comp. Math.51 (1984) 159-168. Zbl0541.46062MR739730
  8. [8] L. Duponcheel: Non-archimedean improper measures on homogeneous spaces. Indag, Math., Vol. 46, Fasc. 3 (1984). Zbl0556.43007MR763461

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