Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariants of the vacuum module associated with the Lie superalgebra
  gl(1|1)   We describe the algebra of invariants of the vacuum module associated with
the affinization of the Lie superalgebra $\mathfrak{gl}(1|1)$. We give a
formula for its Hilbert--Poincar\'{e} series in a fermionic (cancellation-free)
form which turns out to coincide with the generating function of the plane
partitions over the $(1,1)$-hook. Our arguments are based on a super version of
the Beilinson--Drinfeld--Ra\"{i}s--Tauvel theorem which we prove by producing
an explicit basis of invariants of the symmetric algebra of polynomial currents
associated with $\mathfrak{gl}(1|1)$. We identify the invariants with affine
supersymmetric polynomials via a version of the Chevalley theorem.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat