25 citations · 59 across the 19 of their papers we have counts for
20 papers
The Unitarity of Arthur Packets for Real Reductive Groups
Jeffrey Adams, Andrei Ionov, Lucas Mason-Brown +1
Let be a connected reductive algebraic group defined over . In the 1980s, Arthur conjectured the existence of certain packets of irreducible admissible representati…
Equivalent definitions of Arthur packets for real classical groups
Jeffrey Adams, Nicolás Arancibia Robert, Paul Mezo
Arthur has conjectured the existence of what are now known as Arthur packets of representations of reductive algebraic groups over local and global fields. In the case of classical…
Associated varieties for real reductive groups
Jeffrey Adams, David A. Vogan
We give an algorithm to compute the associated variety of a Harish- Chandra module for a real reductive group . The algorithm is implemented in the atlas software p…
Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes
Jeffrey Adams, Xuhua He, Sian Nie
Let be a reductive group over an algebraically closed field and let be its Weyl group. In a series of papers, Lusztig introduced a map from the set of conjugacy class…
From conjugacy classes in the Weyl group to semisimple conjugacy classes
Jeffrey Adams, Xuhua He, Sian Nie
Suppose is a connected complex semisimple group and is its Weyl group. The lifting of an element of to is semisimple. This induces a well-defined map from the set o…
Computing twisted KLV polynomials
Jeffrey Adams
In order to compute Hermitian forms on representations of real reductive groups, in the unequal rank case, it is necessary to compute twisted Kazhdan-Lusztig-Vogan polynomials. The…