Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Young tableaux and homotopy commutative algebras   A homotopy commutative algebra, or $C_{\infty}$-algebra, is defined via the
Tornike Kadeishvili homotopy transfer theorem on the vector space generated by
the set of Young tableaux with self-conjugated Young diagrams. We prove that
this $C_{\infty}$-algebra is generated in degree 1 by the binary and the
ternary operations.

8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org