Wonderful varieties of type 𝖤

Bravi, Paolo

doi:10.1090/S1088-4165-07-00318-4

Wonderful varieties of type $\mathsf E$
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by Paolo Bravi

Represent. Theory 11 (2007), 174-191

DOI: https://doi.org/10.1090/S1088-4165-07-00318-4

Published electronically: October 12, 2007

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Abstract:

The classification of spherical varieties is already known for semi- simple groups of types $\mathsf A$ and $\mathsf D$. Adding type $\mathsf E$, we complete the classification for all semisimple groups with a simply laced Dynkin diagram.

References

Paolo Bravi and Guido Pezzini, Wonderful varieties of type $D$, Represent. Theory 9 (2005), 578–637. MR 2183057, DOI 10.1090/S1088-4165-05-00260-8
M. Brion, Classification des espaces homogènes sphériques, Compositio Math. 63 (1987), no. 2, 189–208 (French). MR 906369
Michel Brion, Vers une généralisation des espaces symétriques, J. Algebra 134 (1990), no. 1, 115–143 (French). MR 1068418, DOI 10.1016/0021-8693(90)90214-9
Manfred Krämer, Sphärische Untergruppen in kompakten zusammenhängenden Liegruppen, Compositio Math. 38 (1979), no. 2, 129–153 (German). MR 528837
Losev, I.V., Uniqueness property for spherical homogeneous spaces, preprint, arXiv: math.AG/0703543 .
—, Demazure embeddings are smooth, preprint, arXiv: math.AG/0704.3698 .
D. Luna, Variétés sphériques de type $A$, Publ. Math. Inst. Hautes Études Sci. 94 (2001), 161–226 (French). MR 1896179, DOI 10.1007/s10240-001-8194-0
D. Luna, Sur les plongements de Demazure, J. Algebra 258 (2002), no. 1, 205–215 (French). Special issue in celebration of Claudio Procesi’s 60th birthday. MR 1958903, DOI 10.1016/S0021-8693(02)00507-0
D. Luna, Sur les plongements de Demazure, J. Algebra 258 (2002), no. 1, 205–215 (French). Special issue in celebration of Claudio Procesi’s 60th birthday. MR 1958903, DOI 10.1016/S0021-8693(02)00507-0
B. Wasserman, Wonderful varieties of rank two, Transform. Groups 1 (1996), no. 4, 375–403. MR 1424449, DOI 10.1007/BF02549213