Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Conjugacy Classes in the orthogonal and symplectic groups over
  algebraically closed fields   Let $\F$ be an algebraically closed field. Let $\V$ be a vector space
equipped with a non-degenerate symmetric or symplectic bilinear form $B$ over
$\F$. Suppose the characteristic of $\F$ is \emph{large}, i.e. either zero or
greater than the dimension of $\V$. Let $I(\V, B)$ denote the group of
isometries. Using the Jacobson-Morozov lemma we give a new and simple proof of
the fact that two elements in $I(\V,B)$ are conjugate if and only if they have
the same elementary divisors.

28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org