Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite Hopf Families of Algebras and Yang-Baxter Relations   A Yang-Baxter relation-based formalism for generalized quantum affine
algebras with the structure of an infinite Hopf family of (super-) algebras is
proposed. The structure of the infinite Hopf family is given explicitly on the
level of $L$ matrices. The relation with the Drinfeld current realization is
established in the case of $4\times4$ $R$-matrices by studying the analogue of
the Ding-Frenkel theorem. By use of the concept of algebra ``comorphisms''
(which generalize the notion of algebra comodules for standard Hopf algebras),
a possible way of constructing infinitely many commuting operators out of the
generalized $RLL$ algebras is given. Finally some examples of the generalized
$RLL$ algebras are briefly discussed.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph