Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The quantum orbit method for generalized flag manifolds   Generalized flag manifolds endowed with the Bruhat-Poisson bracket are
compact Poisson homogeneous spaces, whose decompositions in symplectic leaves
coincide with their stratifications in Schubert cells. In this note it is
proved that the irreducible *-representations of the corresponding quantized
flag manifolds are also parametrized by their Schubert cells. An important step
is the determination of suitable algebraic generators of the quantized flag
manifolds. These algebraic generators can be naturally expressed in terms of
quantum Plucker coordinates. This note complements the paper of the author and
Dijkhuizen in Commun. Math. Phys. 203 (1999), pp. 297-324, in which these
results were established for a special subclass of generalized flag manifolds.

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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc