Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A possible framework of the Lipkin model obeying the su(n)-algebra in
  arbitrary fermion number. I --- The su(2)-algebras extended from the
  conventional fermion-pair and determination of the minimum weight states ---   The minimum weight states of the Lipkin model consisting of n single-particle
levels and obeying the su(n)-algebra are investigated systematically. The basic
idea is to use the su(2)-algebra which is independent of the su(n)-algebra.
This idea has been already presented by the present authors in the case of the
conventional Lipkin model consisting of two single-particle levels and obeying
the su(2)-algebra. If following this idea, the minimum weight states are
determined for any fermion number occupying appropriately n single-particle
levels. Naturally, the conventional minimum weight state is included: all
fermions occupy energetically the lowest single-particle level in the absence
of interaction. The cases n=2, 3, 4 and 5 are discussed in rather detail.

13
The categories of this paper are: quant-ph
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
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con