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math.RT2016★ 1 cited
Parity preservation of -types under theta correspondence
Xiang Fan
This note shows a property of degree-parity preservation for -types under Howe's theta correspondence. As its application, we deduce the preservation of parity of all -types…
math.RT2014★ 3 cited
Explicit induction principle and symplectic-orthogonal theta lifts
Xiang Fan
During the last two decades, great efforts have been devoted to the calculation of the local theta correspondence for reductive dual pairs. However, uniform formulas remain elusive…