Comparison Theorem and Geometric Realization of Representations

Details Comparison Theorem and Geometric Realization of Representations Comparison Theorem and Geometric Realization of Representations

2003-12-22

arxiv.org/abs/math/0312415v1

Proceedings of the 8th "Dr. Antonio A. R. Monteiro" Congress, 3--23, Actas Congr. "Dr. Antonio A. R. Monteiro", Univ. Nac. del

Mathematics

Representation Theory

20 pages

Scientific paper

In this paper we generalize the comparison theorem of Hecht and Taylor to
arbitrary parabolic subalgebras of a complex reductive Lie algebra and then
apply our generalized comparison theorem to obtain results about the geometric
realization of representations in flag spaces.

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