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Volumn 285, Issue 1, 2005, Pages 356-371

Smooth Lie groups over local fields of positive characteristic need not be analytic

Author keywords

Analytic Lie group; Contractive automorphism; Finite order differentiability; Local field; Non archimedian analysis; Positive characteristic; Scale function; Smooth Lie group; Tidy subgroup; Totally disconnected group; Willis theory

Indexed keywords


EID: 13644274024     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2004.11.018     Document Type: Article
Times cited : (9)

References (20)
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    • (2004) Israel J. Math. , vol.142 , pp. 221-248
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  • 2
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    • Differential calculus over general base fields and rings
    • W. Bertram H. Glöckner K.-H. Neeb Differential calculus over general base fields and rings Exposition. Math. 22 2004 213-282
    • (2004) Exposition. Math. , vol.22 , pp. 213-282
    • Bertram, W.1    Glöckner, H.2    Neeb, K.-H.3
  • 3
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    • Variétés différentielles et analytiques. Fascicule de résultats
    • Paris: Hermann
    • N. Bourbaki Variétés différentielles et analytiques. Fascicule de résultats 1967 Hermann Paris
    • (1967)
    • Bourbaki, N.1
  • 5
    • 0039758343 scopus 로고    scopus 로고
    • Scale functions on p-adic Lie groups
    • H. Glöckner Scale functions on p-adic Lie groups Manuscripta Math. 97 1998 205-215
    • (1998) Manuscripta Math. , vol.97 , pp. 205-215
    • Glöckner, H.1
  • 6
    • 13644280415 scopus 로고    scopus 로고
    • Every smooth p-adic Lie group admits a compatible analytic structure
    • math.GR/0312113 in press
    • H. Glöckner Every smooth p-adic Lie group admits a compatible analytic structure preprint math.GR/0312113 Forum Math., in press
    • Glöckner, H.1
  • 7
    • 84929423780 scopus 로고    scopus 로고
    • Implicit functions from topological vector spaces to Banach spaces
    • March math.GM/0303320
    • H. Glöckner Implicit functions from topological vector spaces to Banach spaces preprint math.GM/0303320 March 2003
    • (2003)
    • Glöckner, H.1
  • 8
    • 13644283334 scopus 로고    scopus 로고
    • Lie groups over non-discrete topological fields
    • August math.GR/0408008
    • H. Glöckner Lie groups over non-discrete topological fields preprint math.GR/0408008 August 2004
    • (2004)
    • Glöckner, H.1
  • 9
    • 23944482742 scopus 로고    scopus 로고
    • Scale functions on Lie groups over local fields of positive characteristic
    • in preparation
    • H. Glöckner, Scale functions on Lie groups over local fields of positive characteristic, in preparation
    • Glöckner, H.1
  • 14
    • 13644276488 scopus 로고
    • Zur Theorie der endlichen Transformationsgruppen
    • F. Schur Zur Theorie der endlichen Transformationsgruppen Math. Ann. 38 1891 263-286
    • (1891) Math. Ann. , vol.38 , pp. 263-286
    • Schur, F.1
  • 16
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    • Contractive automorphisms of locally compact groups
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    • Siebert, E.1
  • 17
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    • The Mautner phenomenon for p-adic Lie groups
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  • 19
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    • The structure of totally disconnected, locally compact groups
    • G.A. Willis The structure of totally disconnected, locally compact groups Math. Ann. 300 1994 341-363
    • (1994) Math. Ann. , vol.300 , pp. 341-363
    • Willis, G.A.1
  • 20
    • 0035285134 scopus 로고    scopus 로고
    • Further properties of the scale function on a totally disconnected group
    • G.A. Willis Further properties of the scale function on a totally disconnected group J. Algebra 237 2001 142-164
    • (2001) J. Algebra , vol.237 , pp. 142-164
    • Willis, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.