On the Grothendieck group of modules supported in a nilpotent orbit in theLie algebra gl(n)

Authors
Klimek, J Kraskiewicz, W Shimozono, M Weyman, J
Citation
J. Klimek et al., On the Grothendieck group of modules supported in a nilpotent orbit in theLie algebra gl(n), J PURE APPL, 153(3), 2000, pp. 237-261
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
153
Issue
3
Year of publication
2000
Pages
237 - 261
Database
ISI
SICI code
0022-4049(20001110)153:3<237:OTGGOM>2.0.ZU;2-2
Abstract
The Grothendieck groups of equivariant modules supported in conjugacy class es of nilpotent matrices are investigated. The generators given by twisted modules corresponding to dominant weights in the case of the set of nilpote nt matrices are given. Finally the formulas relating the characters of twisted modules for differe nt conjugacy classes are given by means of degeneration sequences. (C) 2000 Elsevier Science B.V. All rights reserved.