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Volumn 179, Issue 2, 1996, Pages 459-482

Intermediate growth in Lie algebras and their enveloping algebras

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EID: 0030584068     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0020     Document Type: Article
Times cited : (37)

References (20)
  • 1
    • 51649178501 scopus 로고
    • Sur les corps lies aux algèbres enveloppantes des algèbres de Lie
    • 1. I. M. Gelfand and A. A. Kirillov, Sur les corps lies aux algèbres enveloppantes des algèbres de Lie, Publ. Math. IHES 31 (1966), 509-523.
    • (1966) Publ. Math. IHES , vol.31 , pp. 509-523
    • Gelfand, I.M.1    Kirillov, A.A.2
  • 3
    • 84968490629 scopus 로고
    • Universal enveloping algebras with subexponential but not polynomially bounded growth
    • 3. M. K. Smith, Universal enveloping algebras with subexponential but not polynomially bounded growth, Proc. Amer. Math. Soc. 60 (1976), 22-24.
    • (1976) Proc. Amer. Math. Soc. , vol.60 , pp. 22-24
    • Smith, M.K.1
  • 4
    • 33646971540 scopus 로고
    • Uber die Gelfand-Kirillov-dimension
    • 4. W. Borho and H. Kraft, Uber die Gelfand-Kirillov-Dimension, Math. Ann. 220, No. 1 (1976), 1-24.
    • (1976) Math. Ann. , vol.220 , Issue.1 , pp. 1-24
    • Borho, W.1    Kraft, H.2
  • 8
    • 51249180407 scopus 로고
    • Growth in enveloping algebras
    • 8. A. I. Lichtman, Growth in enveloping algebras, Israel J. Math., 47, No. 4 (1984), 297-304.
    • (1984) Israel J. Math. , vol.47 , Issue.4 , pp. 297-304
    • Lichtman, A.I.1
  • 9
    • 0011538317 scopus 로고
    • Discrete subexponential groups
    • 9. A. E. Berezniy, Discrete subexponential groups, Zap. Nauchn. Sem. LOMI 123 (1983), 155-166.
    • (1983) Zap. Nauchn. Sem. LOMI , vol.123 , pp. 155-166
    • Berezniy, A.E.1
  • 10
    • 0000758123 scopus 로고
    • On some types of intermediate growth in Lie algebras
    • 10. V. M. Petrogradsky, On some types of intermediate growth in Lie algebras, Uspekhi Mat. Nauk 5 (1993), 181-182.
    • (1993) Uspekhi Mat. Nauk , vol.5 , pp. 181-182
    • Petrogradsky, V.M.1
  • 15
    • 0011594405 scopus 로고
    • Growth in Lie algebras generated by two general vector fields on the line
    • 15. A. A. Kirillov and M. L. Kontsevich, Growth in Lie algebras generated by two general vector fields on the line, Vestnik Moskov. Univ. Ser. 1 Mat. Mekh. 4 (1983), 15-20.
    • (1983) Vestnik Moskov. Univ. Ser. 1 Mat. Mekh. , vol.4 , pp. 15-20
    • Kirillov, A.A.1    Kontsevich, M.L.2
  • 17
    • 0011650185 scopus 로고
    • On growth of some algebras of vector fields
    • 17. A. I. Molev, On growth of some algebras of vector fields, Uspekhi Mat. Nauk 41, No. 2 (1986), 205-206.
    • (1986) Uspekhi Mat. Nauk , vol.41 , Issue.2 , pp. 205-206
    • Molev, A.I.1
  • 19
    • 0001316024 scopus 로고
    • On Hilbert-Poincaré series of graded algebras associated with groups
    • 19. R. I. Grigorchuk, On Hilbert-Poincaré series of graded algebras associated with groups, Mat. Sb. 180, No. 2 (1989), 207-225.
    • (1989) Mat. Sb. , vol.180 , Issue.2 , pp. 207-225
    • Grigorchuk, R.I.1
  • 20
    • 0003241384 scopus 로고
    • Group rings and their augmentation ideals
    • Springer-Verlag, Berlin/Heidelberg/New York
    • 20. I. B. S. Passi, "Group Rings and Their Augmentation Ideals," Lecture Notes in Mathematics, Vol. 715, Springer-Verlag, Berlin/Heidelberg/New York, 1979.
    • (1979) Lecture Notes in Mathematics , vol.715
    • Passi, I.B.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.