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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2016 Volume 57, Number 4, Pages 721–745 (Mi smj2780)
The automorphism groups of compact homogeneous spaces

V. V. Gorbatsevich

Moscow State Technological University, Moscow, Russia

Abstract: Considering the automorphism groups of compact homogeneous spaces we inspect certain general properties, indicate a method for calculating the groups, and illustrate it with examples in a few particular cases.

Keywords: homogeneous space, automorphism, Lie group, Lie algebra, lattice.

UDC: 512.816

Received: 03.07.2015

DOI: 10.17377/smzh.2016.57.401


 English version: Siberian Mathematical Journal, 2016, 57:4, 565–581

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© Steklov Math. Inst. of RAS, 2025