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math.RT2002★ 1 cited
Dirac Cohomology for the Cubic Dirac Operator
Bertram Kostant
Using the cubic Dirac operator and an extended notion of Dirac cohomology we generalize results of Huang-Pandzic, which appeared in JAMS (Sept. 6, 2001 electronic) on a conjecture…
math.RT2002
A branching law for subgroups fixed by an involution and a noncompact analogue of the Borel-Weil theorem
Bertram Kostant
We give a branching law for subgroups fixed by an involution. As an application we give a generalization of the Cartan-Helgason theorem and a noncompact analogue of the Borel-Weil…