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

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Hrčak ID:

214476

URI

https://hrcak.srce.hr/214476

Datum izdavanja:

30.12.2018.

Posjeta: 1.050 *