Geodesic
On the Isomorphism and Diffeomorphism of Compact Semisimple Lie Groups
Matematičeskie zametki, Tome 112 (2022) no. 3, pp. 384-390

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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.
Mots-clés : compact Lie group, simple compact Lie group
Keywords: semisimple compact Lie group, locally isomorphic Lie groups, homotopy groups, cohomology algebra. 
@article{MZM_2022_112_3_a6,
     author = {V. V. Gorbatsevich},
     title = {On the {Isomorphism} and {Diffeomorphism} of {Compact} {Semisimple} {Lie} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {384--390},
     publisher = {mathdoc},
     volume = {112},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_3_a6/}
}
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V. V. Gorbatsevich. On the Isomorphism and Diffeomorphism of Compact Semisimple Lie Groups. Matematičeskie zametki, Tome 112 (2022) no. 3, pp. 384-390. http://geodesic.mathdoc.fr/item/MZM_2022_112_3_a6/