Highest-weight Theory: Borel-Weil
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چکیده
with the left regular representation of G on L(G) corresponding to the action on the factor Vi and the right regular representation corresponding to the dual action on the factor V ∗ i . Under the left regular representation L (G) decomposes into irreducibles as a sum over all irreducibles, with each one occuring with multiplicity dim Vi (which is the dimension of V ∗ i ). To make things simpler later, we’ll interchange our labeling of representations and use Peter-Weyl in the form L(G) = ⊕̂
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تاریخ انتشار 2012