Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cartan matrices and Brauer's k(B)-Conjecture V   We prove Brauer's k(B)-Conjecture for the 3-blocks with abelian defect groups
of rank at most 5 and for all 3-blocks of defect at most 4. For this purpose we
develop a computer algorithm to construct isotypies based on a method of Usami
and Puig. This leads further to some previously unknown perfect isometries for
the 5-blocks of defect 2. We also investigate basic sets which are compatible
under the action of the inertial group.

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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas