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Irreducible Modular Representations of the Reflection Group G(m,1,n)
Joint Authors
Araujo, José O.
Bratten, Tim
Maiarú, Cesar L.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In an article published in 1980, Farahat and Peel realized the irreducible modular representations of the symmetric group.
One year later, Al-Aamily, Morris, and Peel constructed the irreducible modular representations for a Weyl group of type Bn.
In both cases, combinatorial methods were used.
Almost twenty years later, using a geometric construction based on the ideas of Macdonald, first Aguado and Araujo and then Araujo, Bigeón, and Gamondi also realized the irreducible modular representations for the Weyl groups of types An and Bn.
In this paper, we extend the geometric construction based on the ideas of Macdonald to realize the irreducible modular representations of the complex reflection group of type G(m,1,n).
American Psychological Association (APA)
Araujo, José O.& Bratten, Tim& Maiarú, Cesar L.. 2015. Irreducible Modular Representations of the Reflection Group G(m,1,n). Journal of Mathematics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068691
Modern Language Association (MLA)
Araujo, José O.…[et al.]. Irreducible Modular Representations of the Reflection Group G(m,1,n). Journal of Mathematics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1068691
American Medical Association (AMA)
Araujo, José O.& Bratten, Tim& Maiarú, Cesar L.. Irreducible Modular Representations of the Reflection Group G(m,1,n). Journal of Mathematics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068691