Branching Laws of Generalized Verma Modules for (so(7,C), g_2)
Time: 2014-10-23
Published By:
Speaker(s): He Haian, BICMR
Time: 00:00-00:00 October 23, 2014
Venue: Room 78201 at #78 courtyard, Beijing International Center for Mathematical Research
Speaker: He Haian
Time: Thursday, October 23, 2014 from 13:45 to 14:45
Place: Room 78201
Abstract: Let g be a complex semisimple Lie algebra, and let g' be a reductive subalgebra of g. Suppose that p is a g'-compatible parabolic subalgebra of g, then KOBAYASHI Toshiyuki showed that any simple object in the generalized BGG category O^p is discretely decomposable as g'-module. In this seminar, I shall introduce discretely decomposable branching laws, and then I shall give the branching formulas for the generalized Verma modules of so(7,C) attached to g_2-compatible parabolic subalgebras.
