메뉴 건너뛰기




Volumn 38, Issue 4, 1998, Pages 695-725

1-cocycles on the group of diffeomorphisms

(1)  Shimomura, Hiroaki a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032249891     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518005     Document Type: Article
Times cited : (2)

References (22)
  • 4
    • 0008012385 scopus 로고
    • Irreducible unitary representations of the group of diffeomorphisms of a non-compact manifold
    • T. Hirai, Irreducible unitary representations of the group of diffeomorphisms of a non-compact manifold, ibid., 33 (1993), 827-864.
    • (1993) J. Math. Kyoto Univ. , vol.33 , pp. 827-864
    • Hirai, T.1
  • 5
    • 0031520421 scopus 로고    scopus 로고
    • Relations between unitary representations of diffeomorphism groups and those of the infinite symmetric group or of related permutation groups
    • T. Hirai and H. Shimomura, Relations between unitary representations of diffeomorphism groups and those of the infinite symmetric group or of related permutation groups, ibid., 37 (1997), 261-316.
    • (1997) J. Math. Kyoto Univ. , vol.37 , pp. 261-316
    • Hirai, T.1    Shimomura, H.2
  • 6
    • 0039464580 scopus 로고
    • Unitary representations of the group of diffeomorphisms of a circle
    • R. S. Ismagilov, Unitary representations of the group of diffeomorphisms of a circle, Funct. Anal. Appl., 5 (1971), 45-53 (= Funct. Anal., 5 (1971), 209-216 (English Translation)).
    • (1971) Funct. Anal. Appl. , vol.5 , pp. 45-53
    • Ismagilov, R.S.1
  • 7
    • 0039464580 scopus 로고
    • English Translation
    • R. S. Ismagilov, Unitary representations of the group of diffeomorphisms of a circle, Funct. Anal. Appl., 5 (1971), 45-53 (= Funct. Anal., 5 (1971), 209-216 (English Translation)).
    • (1971) Funct. Anal. , vol.5 , pp. 209-216
  • 8
    • 0008059291 scopus 로고
    • On unitary representations of the group of diffemorphisms of a compact manifold
    • R. S. Ismagilov, On unitary representations of the group of diffemorphisms of a compact manifold, Math. USSR Izvestija, 6 (1972) 181-209.
    • (1972) Math. USSR Izvestija , vol.6 , pp. 181-209
    • Ismagilov, R.S.1
  • 9
    • 0039464584 scopus 로고
    • n, n ≥ 2
    • n, n ≥ 2, Funct. Anal. Appl., 9 (1975), 71-72 (= Funct. Anal., 9 (1975), 154-155 (English Translation)).
    • (1975) Funct. Anal. Appl. , vol.9 , pp. 71-72
    • Ismagilov, R.S.1
  • 10
    • 0039464584 scopus 로고
    • English Translation
    • n, n ≥ 2, Funct. Anal. Appl., 9 (1975), 71-72 (= Funct. Anal., 9 (1975), 154-155 (English Translation)).
    • (1975) Funct. Anal. , vol.9 , pp. 154-155
  • 11
    • 84951561503 scopus 로고
    • Imbedding of a group of measure-preserving diffemorphisms into a semidirect product and its unitary repesentations
    • R. S. Ismagilov, Imbedding of a group of measure-preserving diffemorphisms into a semidirect product and its unitary repesentations, Math. Sbornik, 41 (1982), 67-81.
    • (1982) Math. Sbornik , vol.41 , pp. 67-81
    • Ismagilov, R.S.1
  • 12
    • 0038214555 scopus 로고
    • Unitary representations of the group of diffeomorphisms and of some of its subgroups
    • A. A. Kirillov, Unitary representations of the group of diffeomorphisms and of some of its subgroups, Sel. Math. Sov., 1 (1981), 351-372.
    • (1981) Sel. Math. Sov. , vol.1 , pp. 351-372
    • Kirillov, A.A.1
  • 13
    • 49949143181 scopus 로고
    • On a differentiable structure for the group of diffeomorphisms
    • J. A. Leslie, On a differentiable structure for the group of diffeomorphisms, Topology, 6 (1967) 263-271.
    • (1967) Topology , vol.6 , pp. 263-271
    • Leslie, J.A.1
  • 14
    • 0008104563 scopus 로고
    • The complementary series of representations of the group of diffemorphisms of the circle
    • Yu. A. Neretin, The complementary series of representations of the group of diffemorphisms of the circle, Russ.Math.Surv., 37 (1982), 229-230.
    • (1982) Russ.Math.Surv. , vol.37 , pp. 229-230
    • Neretin, Yu.A.1
  • 17
    • 0040056380 scopus 로고
    • Kisosūgaku, Iwanamikouza, Iwanami, in Japanese
    • K. Shiga, Manifold theory II, Kisosūgaku, Iwanamikouza, Iwanami, 1976 (in Japanese).
    • (1976) Manifold Theory II
    • Shiga, K.1
  • 18
    • 0001000050 scopus 로고
    • Poisson measures on the configuration space and unitary representations of the group of diffeomorphisms
    • H. Shimomura, Poisson measures on the configuration space and unitary representations of the group of diffeomorphisms, J. Math. Kyoto Univ., 34 (1994), 599-614.
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 599-614
    • Shimomura, H.1
  • 19
    • 0008059112 scopus 로고    scopus 로고
    • On group topologies on the group of diffeomorphisms
    • H. Shimomura and T. Hirai, On group topologies on the group of diffeomorphisms, RIMS kōkyūroku, 1017 (1997) 104-115.
    • (1997) RIMS Kōkyūroku , vol.1017 , pp. 104-115
    • Shimomura, H.1    Hirai, T.2
  • 20
    • 0032245438 scopus 로고    scopus 로고
    • On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms
    • N. Tatsuuma, H. Shimomura and T. Hirai, On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms, J. Math. Kyoto Univ., 38 (1998) 551-578.
    • (1998) J. Math. Kyoto Univ. , vol.38 , pp. 551-578
    • Tatsuuma, N.1    Shimomura, H.2    Hirai, T.3
  • 21
    • 0002797720 scopus 로고
    • Representations of the group of diffeomorphism
    • A. M. Vershik, I. M. Gel'fand and M. I. Graev, Representations of the group of diffeomorphism, Usp. Mat. Nauk., 30 (1975), 3-50 (= Russ. Math. Surv., 30 (1975), 3-50).
    • (1975) Usp. Mat. Nauk. , vol.30 , pp. 3-50
    • Vershik, A.M.1    Gel'fand, I.M.2    Graev, M.I.3
  • 22
    • 0038871758 scopus 로고
    • A. M. Vershik, I. M. Gel'fand and M. I. Graev, Representations of the group of diffeomorphism, Usp. Mat. Nauk., 30 (1975), 3-50 (= Russ. Math. Surv., 30 (1975), 3-50).
    • (1975) Russ. Math. Surv. , vol.30 , pp. 3-50


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.