The full group of isometries of some compact Lie groups endowed with a bi-invariant metric

Authors

  • Alberto Dolcetti Dipartimento di Matematica e Informatica, Universit`a degli Studi di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italia https://orcid.org/0000-0001-9791-8122
  • Donato Pertici Dipartimento di Matematica e Informatica, Universit`a degli Studi di Firenze, Viale Morgagni 67/a, 50134 Firenze, Italia https://orcid.org/0000-0003-4667-9568

DOI:

https://doi.org/10.33044/revuma.2737

Abstract

We describe the full group of isometries of absolutely simple, compact, connected real Lie groups, of $S\mathcal{O}(4)$, and of $U(n)$, endowed with suitable bi-invariant Riemannian metrics.

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Published

2023-10-23

Issue

Vol. 65 No. 2 (2023)

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Article

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Copyright (c) 2023 Alberto Dolcetti, Donato Pertici

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