2010 | OriginalPaper | Chapter
Relation with Kac-Moody Lie Algebras
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
33.1.1
. Let
R
′
f
be the free associative algebra over
R
with generators
$$\theta \,(i \in I)$$
. As for ′
f
, which corresponds to the case
$$R = Q(\upsilon )$$
, we have a natural direct sum decomposition
$$R\prime{\rm{f}} = \oplus \nu (R\prime{\rm{f}}_\nu )$$
where
v
runs over N[
I
]; each ′
f
v
is a free
R
-module of finite rank.