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Partial normalizations of coxeter arrangements and discriminants
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Granger, Michel, Mond, D. (David) and Schulze, Mathias (2012) Partial normalizations of coxeter arrangements and discriminants. Moscow Mathematical Journal, Vol.12 (No.2). pp. 335-367. ISSN 1609-4514.
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Abstract
We study natural partial normalization spaces of Coxeter arrangements and discriminants
and relate their geometry to representation theory. The underlying ring structures arise from Dubrovin’s
Frobenius manifold structure which is lifted (without unit) to the space of the arrangement. We also
describe an independent approach to these structures via duality of maximal Cohen–Macaulay fractional
ideals. In the process, we find 3rd order differential relations for the basic invariants of the Coxeter
group. Finally, we show that our partial normalizations give rise to new free divisors.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Coxeter groups, Representations of groups | ||||
Journal or Publication Title: | Moscow Mathematical Journal | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 1609-4514 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.12 | ||||
Number: | No.2 | ||||
Page Range: | pp. 335-367 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 23 December 2015 | ||||
Date of first compliant Open Access: | 23 December 2015 |
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