Dicyclic groups and frobenius manifolds
Other Title(s)
زمر مزدوجة الدورة و فضاءات فروبينيس الهندسية
Joint Authors
Dinar, Yasir
al-Muammari, Zaynab
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 25, Issue 2 (31 Dec. 2020), pp.107-111, 5 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2020-12-31
Country of Publication
Oman
No. of Pages
5
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract EN
The orbits space of an irreducible representation of a finite group is a variety whose coordinate ring is finitely generated by homogeneous invariant polynomials.
Boris Dubrovin showed that the orbits spaces of the reflection groups acquire the structure of polynomial Frobenius manifolds.
Dubrovin’s method to construct examples of Frobenius manifolds on orbits spaces was carried for other linear representations of discrete groups which have in common that the coordinate rings of the orbits spaces are polynomial rings.
In this article, we show that the orbits space of an irreducible representation of a dicyclic group acquires two structures of Frobenius manifolds.
The coordinate ring of this orbits space is not a polynomial ring.
American Psychological Association (APA)
Dinar, Yasir& al-Muammari, Zaynab. 2020. Dicyclic groups and frobenius manifolds. Sultan Qaboos University Journal for Science،Vol. 25, no. 2, pp.107-111.
https://search.emarefa.net/detail/BIM-1379091
Modern Language Association (MLA)
Dinar, Yasir& al-Muammari, Zaynab. Dicyclic groups and frobenius manifolds. Sultan Qaboos University Journal for Science Vol. 25, no. 2 (2020), pp.107-111.
https://search.emarefa.net/detail/BIM-1379091
American Medical Association (AMA)
Dinar, Yasir& al-Muammari, Zaynab. Dicyclic groups and frobenius manifolds. Sultan Qaboos University Journal for Science. 2020. Vol. 25, no. 2, pp.107-111.
https://search.emarefa.net/detail/BIM-1379091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 111
Record ID
BIM-1379091