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HOMOLOGY OF LIE ALGEBRAS Many other homology theories have been
found useful in algebra and arise by taking suitable derived functors. Here one
will be described in which the derived functors are again Tor and Ext functors. If g
is a ...
If a Lie algebra has no nonzero properly smaller ideal, it is Theorems called
simple. The basic theorems describing the structure describ- of Lie algebras over
any field of characteristic zero areas ing the may be stated as follows: structure
In the family of Lie groups with a given Lie algebra, there is one that covers all the
others — the so-called universal covering group of the others (also called simply
connected covering group — the one that has no holes). The group of reals is ...
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