Abstract:
The observable subgroups of linear algebraic groups over an algebraically closed field of characteristic zero are described.
Bibliography: 8 titles.
Patrick Delorme, Friedrich Knop, Bernhard Krötz, Henrik Schlichtkrull, “Plancherel theory for real spherical spaces: Construction of the Bernstein morphisms”, J. Amer. Math. Soc., 34:3 (2021), 815
Dao Phuong Bac, Nguyen Quoc Thang, “On a relative version of a theorem of Bogomolov over perfect fields and its applications”, Journal of Algebra, 324:6 (2010), 1259
Ivan Losev, “Computation of Weyl groups of 𝐺-varieties”, Represent. Theory, 14:2 (2010), 9
Losev, IV, “UNIQUENESS PROPERTY FOR SPHERICAL HOMOGENEOUS SPACES”, Duke Mathematical Journal, 147:2 (2009), 315
Bac D.Ph., Thang N.Q., “Relative Versions of Theorems of Bogomolov and Sukhanov Over Perfect Fields”, Proc. Jpn. Acad. Ser. A-Math. Sci., 84:7 (2008), 101–106
Andy R. Magid, Nazih Nahlus, “Provarieties and observable subgroups of pro-affine algebraic groups”, jgth, 5:1 (2001), 59
I. V. Arzhantsev, “On modality and complexity of affine embeddings”, Sb. Math., 192:8 (2001), 1133–1138
Barak Weiss, “Finite dimensional representations and subgroup actions on homogeneous spaces”, Isr J Math, 106:1 (1998), 189
Akhiezer D., Gilligan B., “On Complex Homogeneous Spaces with TOP Homology in Codimension .2.”, Can. J. Math.-J. Can. Math., 46:5 (1994), 897–919