On weakly complete group algebras of compact groups

Journal of Lie Theory

Volumn 30, Issue 2, 2020, Pages 407-424

  Hofmann, Karl Heinrich ^a   Kramer, Linus ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Compact group; Group algebra; Hopf algebra; Lie algebra; Universal enveloping algebra; Weakly complete algebra; Weakly complete vector space

Indexed keywords

EID: 85090630707     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. N. Bourbaki: Groupes et Alg bres de Lie, Hermann, Paris (1971)
2. C. W. Curtis, I. Reiner: Representation Theory of Finite Groups and Associative Algebras, Pure and Applied Mathematics XI, Interscience Publishers, Wiley & Sons, New York (1962)
3. R. Dahmen, K. H. Hofmann: The pro-Lie group aspect of weakly complete algebras and weakly complete group Hopf algebras, J. Lie Theory 29 (2019) 413 455
4. A. Hamilton: A Poincaré-Birkhoff-Witt theorem for profinite pronilpotent Lie algebras, J. Lie Theory 29 (2019) 611 618
5. K. H. Hofmann, L. Kramer: Group algebras of compact groups, preprint of the Mathematische Forschungsinstitut Oberwolfach (2019) 30 pp
6. K. H. Hofmann, S. A. Morris: The Structure Theory of Compact Groups a Primer for the Student a Handbook for the Expert, 3rd ed., De Gruyter Studies in Mathematics 25, Berlin (2013)
7. K. H. Hofmann, S. A. Morris: The Lie Theory of Connected Pro-Lie Groups, a Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups, European Mathematical Society Publishing House, Zürich (2006)
8. J.-P. Serre: Lie Algebras and Lie Groups, W. A. Benjamin, New York (1965)