Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational semistandard tableaux and character formula for the Lie
  superalgebra $\hat{\frak{gl}}_{\infty|\infty}$   A new combinatorial interpretation of the Howe dual pair
$(\hat{\frak{gl}}_{\infty|\infty},\frak{gl}_n)$ acting on an infinite
dimensional Fock space $\frak{F}^n$ of level $n$ is presented. The character of
a quasi-finite irreducible highest weight representation of
$\hat{\frak{gl}}_{\infty|\infty}$ occurring in $\frak{F}^n$ is realized in
terms of certain bitableaux of skew shapes. We study a general combinatorics of
these bitableaux, including Robinson-Schensted-Knuth correspondence and
Littlewood-Richardson rule, and then its dual relation with the rational
semistandard tableaux for $\frak{gl}_n$. This result also explains other Howe
dual pairs including $\frak{gl}_n$.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol