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math.RT2020
Dirac cohomology and character lifting
Jing-Song Huang
The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules, or Dirac index of the trivial representation. The lifting of…
math.RT2020★ 2 cited
Symplectic Dirac cohomology and lifting of characters to metaplectic groups
Jing-Song Huang
We formulate the transfer factor of character lifting from orthogonal groups to symplectic groups by Adams in the framework of symplectic Dirac cohomology for the Lie superalgebras…
math.RT2020
Partial Dirac Cohomology and Tempered Representations
Meng-Kiat Chuah, Jing-Song Huang, Joseph A. Wolf
The tempered representations of a real reductive Lie group are naturally partitioned into series associated with conjugacy classes of Cartan subgroups of . We define par…