Lie group actions in complex analysis and algebraic geometry.
Main publications:
D. N. Akhiezer, “Invariant meromorphic functions on complex semisimple Lie groups”, Inventiones Math., 65:3 (1981), 325–329
D. N. Akhiezer, “Equivariant completions of homogeneous algebraic varieties by homogeneous divisors”, Annals of Global Analysis and Geometry, 1:1 (1983), 49–78
D. N. Akhiezer, S. G. Gindikin, “On Stein extensions of real symmetric spaces”, Math. Annalen, 286 (1990), 1–12
D. N. Akhiezer, “Group actions on the Dolbeault cohomology of homogeneous manifolds”, Math. Zeitschrift, 226:4 (1997), 607–621
D. N. Akhiezer, E. B. Vinberg, “Weakly symmetric spaces and spherical varieties”, Transformation Groups, 4:1 (1999), 3–24
