Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of complex simple Lie algebras via projective geometry
  geometry   We present a new proof of the classification of complex simple Lie algebras
via the projective geometry of homogeneous varieties. Our proof proceeds by
constructing homogeneous varieties using the ideals of the secant and
tangential varieties of homogeneous varieties already constructed.
  Our algorithms make no reference to root systems. Our proofs use properties
of root systems, but not their classification.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con