Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On homological properties of strict polynomial functors of degree p   We study the homological algebra in the category $\mathcal{P}_p$ of strict
polynomial functors of degree $p$ over a field of positive characteristic $p$.
We determine the decomposition matrix of our category and we calculate the
Ext-groups between functors important from the point of view of representation
theory. Our results include computations of the Ext-algebras for simple
functors and Schur functors and the Ext-groups between Schur and Weyl functors.
We observe that the category $\mathcal{P}_p$ has a Kazhdan-Lusztig theory and
we show that the dg algebras computing the Ext-algebras for simple functors and
Schur functors are formal. These last results allow one to describe the bounded
derived category of $\mathcal{P}_p$ as derived categories of certain explicitly
described graded algebras. We also generalize our results to all blocks of
$p$-weight 1 in $\mathcal{P}_e$ for $e > p$.

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom