On quotient spaces of compact lie groups by Tori centralizers |
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Authors: | A N Shchetinin |
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Institution: | 1. Bauman State Technical University, Moscow
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Abstract: | We consider the graph of the homogeneous space K/L, where K is a compact Lie group and L is the centralizer of a torus in K. We obtain a characterization of those spaces whose graphs admit embeddings in a certain standard graph. We compute the number of arcs in such graphs. We also give a simple expression for the Euler class of the homogeneous space K/L. |
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