2026-09-23T06:55:14Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/86382022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
George Lusztig.
Henderson, Anthony, 1976-
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2005-08-23T21:55:42Z
2005-08-23T21:55:42Z
2001
2001
http://hdl.handle.net/1721.1/8638
49612548
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.
Includes bibliographical references (p. [79]-[80]).
Inspired by the work of Lusztig, we apply the theory of character sheaves on a symmetric space (h la Ginzburg and Grojnowski) to the problem of determining the spherical functions (averages of the irreducible characters) of the associated symmetric space over a finite field. A crucial result about the filtration of character sheaves by cells enables us to compute the spherical functions explicitly in the cases GLn((Fq2)/GLn(]Fq) and GL2n(1Fq)/Sp2n((Fq), as well as other closely related examples. We include partial results about the symmetric space GLn/(GLm x GLn-m), to illustrate some of the obstacles to further generalization.
by Anthony Henderson.
Ph.D.
77, [3] p.
6112746 bytes
6112507 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Character sheaves on symmetric spaces
Thesis
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Publication
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