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The degree of the discriminant of irreducible representations
Author(s):
L.
M.
Fehér;
A.
Némethi;
R.
Rimányi
Journal:
J. Algebraic Geom.
17
(2008),
751-780.
Posted:
February 19, 2008
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
We present a formula for the degree of the discriminant of irreducible representations of a Lie group, in terms of the roots of the group and the highest weight of the representation. The proof uses equivariant cohomology techniques, namely, the theory of Thom polynomials, and a new method for their computation. We study the combinatorics of our formulas in various special cases.
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Additional Information:
L.
M.
Fehér
Affiliation:
Department of Analysis, ELTE TTK, Pázmány P. s. 1/c, 1117 Budapest, Hungary
Email:
lfeher@renyi.hu
A.
Némethi
Affiliation:
Renyi Institute of Mathematics, 13--15 Reáltanoda u. 1053 Budapest, Hungary; and Ohio State University, Columbus, Ohio 43210-1101
Email:
nemethi@renyi.hu, nemethi@math.ohio-state.edu
R.
Rimányi
Affiliation:
Department of Mathematics, University of North Carolina, CB \#3250 Phillips Hall, Chapel Hill, North Carolina 27599
Email:
rimanyi@email.unc.edu
PII:
S 1056-3911(08)00483-9
Received by editor(s):
August 29, 2006
Posted:
February 19, 2008
Additional Notes:
The first and third authors were supported by OTKA T046365MAT. The second author was supported by NSF grant DMS-0304759 and OTKA 42769/46878. The third author was supported by NSF grant DMS-0405723
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