V. V. Gorbatsevich, “On the Isomorphism and Diffeomorphism of Compact Semisimple Lie Groups”, Mat. Zametki, 2022, Volume 112, Issue 3,Pages <nobr>384

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On the Isomorphism and Diffeomorphism of Compact Semisimple Lie Groups

V. V. Gorbatsevich

Abstract: In the paper, the connection between algebraic and topological properties of compact semisimple Lie groups is studied. Three series of examples of compact semisimple Lie groups are given which are not isomorphic to each other but are diffeomorphic.

Keywords: compact Lie group, semisimple compact Lie group, simple compact Lie group, locally isomorphic Lie groups, homotopy groups, cohomology algebra.

UDC: 512.813.3

Received: 24.05.2021
Revised: 04.04.2022

DOI: 10.4213/mzm13158