Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On infinite dimensional grassmannians and their quantum deformations   An algebraic approach is developed to define and study infinite dimensional
grassmannians. Using this approach a quantum deformation is obtained for both
the ind-variety union of all finite dimensional grassmannians, and the Sato
grassmannian introduced by Sato. They are both quantized as homogeneous spaces,
that is together with a coaction of a quantum infinite dimensional group. At
the end, an infinite dimensional version of the first theorem of invariant
theory is discussed for both the infinite dimensional special linear group and
its quantization.

27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg