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Chern characters, reduced ranks and -modules on the flag variety

Published online by Cambridge University Press:  20 January 2009

T. J. Hodges  and
M. P. Holland
T. J. Hodges
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025, USA E-mail address: HODGES@UCBEH.SAN.UC.EDU
M. P. Holland
Affiliation:
School of Mathematics and Statistics, Pure Mathematics Section, Sheffield University, Sheffield S3 7RH, UK E-mail address: M.HOLLAND@SHEFFIELD.AC.UK
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Abstract

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Let D be the factor of the enveloping algebra of a semisimple Lie algebra by its minimal primitive ideal with trival central character. We give a geometric description of the Chern character ch: K0(D)→HC0(D) and the state (of the maximal ideal m) s: K0(D)→K0(D/m) = ℤ in terms of the Euler characteristic χ:K0()→ℤ, where is the associated flag variety.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 3 , October 1994 , pp. 477 - 482
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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