Glasnik matematički, Vol. 53 No. 2, 2018.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.53.2.05
Computing the associated cycles of certain Harish-Chandra modules
Salah Mehdi
; Institut Elie Cartan de Lorraine, CNRS - UMR 7502, Université de Lorraine, Metz, F-57045, France
Pavle Pandžić
; Department of Mathematics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia
David Vogan
; Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Roger Zierau
; Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078, USA
Sažetak
Let Gℝ be a simple real linear Lie group with maximal compact subgroup Kℝ and assume that rank(Gℝ)=rank(Kℝ). In [17] we proved that for any representation X of Gelfand-Kirillov dimension 1/2dim(Gℝ/Kℝ), the polynomial on the dual of a compact Cartan subalgebra given by the dimension of the Dirac index of members of the coherent family containing X is a linear combination, with integer coefficients, of the multiplicities of the irreducible components occurring in the associated cycle. In this paper we compute these coefficients explicitly.
Ključne riječi
Hrčak ID:
214476
URI
Datum izdavanja:
30.12.2018.
Posjeta: 744 *