| Abstract: | This article, in conjunction with a previous one, proves Drinfeld's theorems about invariant star products, ISPS, on a connected Lie group G endowed with an invariant symplectic structure β1 ε
2(
). In particular, we prove that every formal 2-cocycle
·
2 (
))
]] determines an ISP,
, and conversely any ISP, F, determines a formal 2-cocycle fx360-1 such that F is equivalent to
. We also prove that two ISPS
and
are equivalent if and only if the cohomology classes of
and
coincide. These properties define a bijection between the set of equivalent classes of ISP on (G; β1) and the set
·
2(
)
]]. |
