Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized induction of Kazhdan-Lusztig cells   Following Lusztig, we consider a Coxeter group $W$ together with a weight
function. Geck showed that the Kazhdan-Lusztig cells of $W$ are compatible with
parabolic subgroups. In this paper, we generalize this argument to some subsets
of $W$ which may not be parabolic subgroups. We obtain two applications: we
show that under specific technical conditions on the parameters, the cells of a
certain finite parabolic subgroup of $W$ are cells in the whole group, and we
decompose the affine Weyl group $\tilde{G}_{2}$ into left and two-sided cells
for a whole class of weight functions.

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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int