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Showing 2010 · math.RTShow all
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math.RT2010★ 3 cited
Dirac cohomology for graded affine Hecke algebras
Dan Barbasch, Dan Ciubotaru, Peter E. Trapa
We define analogues of the Casimir and Dirac operators for graded affine Hecke algebras, and establish a version of Parthasarathy's Dirac operator inequality. We then prove a versi…
math.RT2010
Ramanujan bigraphs associated with SU(3) over a p-adic field
Cristina Ballantine, Dan Ciubotaru
We use the representation theory of the quasisplit form G of SU(3) over a p-adic field to investigate whether certain quotients of the Bruhat--Tits tree associated to this form are…
math.RT2010★ 4 cited
Matrices that are self-congruent only via matrices of determinant one
Tatyana G. Gerasimova, Roger A. Horn, Vladimir V. Sergeichuk
Docovic and Szechtman, [Proc. Amer. Math. Soc. 133 (2005) 2853-2863] considered a vector space V endowed with a bilinear form. They proved that all isometries of V over a field F o…