Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson-Lie T-Duality and Bianchi Type Algebras   All Bianchi bialgebras have been obtained. By introducing a non-degenerate
adjoint invariant inner product over these bialgebras the associated Drinfeld
doubles have been constructed, then by calculating the coupling matrices for
these bialgebras several sigma-models with Poisson-Lie symmetry have been
obtained. Two simple examples as prototypes of Poisson-Lie dual models have
been given.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin