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Volumn 32, Issue 3, 2022, Pages 601-642

On Weakly Complete Universal Enveloping Algebras: A Poincaré-Birkhoff-Witt Theorem

Author keywords

Associative algebra; grouplike element; Lie algebra; Poincar Birkhoff Witt theorem.; power series algebra; primitive element; pro Lie group; profinite dimensional Lie algebra; projective limit; symmetric Hopf algebra; universal enveloping algebra; weakly complete vector space

Indexed keywords


EID: 85136700064     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (1)

References (19)
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    • Dahmen, R.1    Hofmann, K. H.2
  • 4
    • 85068901961 scopus 로고    scopus 로고
    • A Poincaré-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras
    • A. Hamilton: A Poincaré-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras, J. Lie Theory 29 (2019) 611-618.
    • (2019) J. Lie Theory , vol.29 , pp. 611-618
    • Hamilton, A.1
  • 7
    • 85090630707 scopus 로고    scopus 로고
    • On weakly complete group algebras of compact groups
    • K. H. Hofmann, L. Kramer: On weakly complete group algebras of compact groups, J. Lie Theory 30 (2020) 407-424.
    • (2020) J. Lie Theory , vol.30 , pp. 407-424
    • Hofmann, K. H.1    Kramer, L.2
  • 9
    • 21644450248 scopus 로고    scopus 로고
    • Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
    • K. H. Hofmann, S. A. Morris: Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem, J. Group Theory 8 (2005) 115-133.
    • (2005) J. Group Theory , vol.8 , pp. 115-133
    • Hofmann, K. H.1    Morris, S. A.2
  • 12
    • 85113330908 scopus 로고    scopus 로고
    • Advances in the theory of compact groups and pro-Lie groups in the last quarter century
    • art 13pp
    • K. H. Hofmann, S. A. Morris: Advances in the theory of compact groups and pro-Lie groups in the last quarter century, Axioms 10 (2021), art. no. 190, 13pp.
    • (2021) Axioms , vol.10 , pp. 190
    • Hofmann, K. H.1    Morris, S. A.2
  • 13
    • 25444485241 scopus 로고    scopus 로고
    • Lie Groups and Subsemigroups with Surjective Exponential Function
    • American Mathematical Society, Providence
    • K. H. Hofmann, W. A. F. Ruppert: Lie Groups and Subsemigroups with Surjective Exponential Function, Memoirs of the American Mathematical Society 130, American Mathematical Society, Providence (1997).
    • (1997) Memoirs of the American Mathematical Society , vol.130
    • Hofmann, K. H.1    Ruppert, W. A. F.2
  • 17
  • 19
    • 85130162460 scopus 로고    scopus 로고
    • Group-like elements in a universal enveloping algebra
    • Feb. 4
    • M. Troshkin: Group-like elements in a universal enveloping algebra, Discussion in mathoverflow, Feb. 4 (2021).
    • (2021) Discussion in mathoverflow
    • Troshkin, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.