Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal polynomials and annihilators of generalized Verma modules of the
  scalar type   Let g be a complex reductive Lie algebra and U(g) the universal enveloping
algebra of g. Associated to a faithful irreducible finite dimensional
representation of g, a square matrix F with entries in U(g) naturally arises
and if we consider the entries of F are elements in End(M) of a given
U(g)-module M, the minimal polynomial of F is defined as the usual one for an
associative algebra over the complex field. Suppose M is a generalized Verma
module induced from a character of a parabolic subalgebra of g. In this paper a
polynomial q(x) with the parameter of the character is constructed, which
equals the minimal polynomial for the generic parameter. Then the two-sided
ideal of U(g) generated by the entries of q(F) is studied. We give a sufficient
condition for the parameter such that the ideal describes the difference of two
left ideals related to M and the corresponding Verma module. The result has
many applications. For example we can explicitly give a generator system of the
annihilator of M for the generic parameter. This paper also deals with many
concrete examples.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex