On classification and construction of algebraic Frobenius manifolds

Yassir Ibrahim Dinar

doi:10.1016/j.geomphys.2008.04.001

On classification and construction of algebraic Frobenius manifolds

Yassir Ibrahim Dinar^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

9 اقتباسات (Scopus)

ملخص

We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.

اللغة الأصلية	English
الصفحات (من إلى)	1171-1185
عدد الصفحات	15
دورية	Journal of Geometry and Physics
مستوى الصوت	58
رقم الإصدار	9
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.geomphys.2008.04.001
حالة النشر	Published - سبتمبر 2008
منشور خارجيًا	نعم

ASJC Scopus subject areas

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الوصول إلى المستند

10.1016/j.geomphys.2008.04.001

الملفات والروابط الأخرى

قم بذكر هذا

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title = "On classification and construction of algebraic Frobenius manifolds",

abstract = "We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.",

keywords = "Bi-Hamiltonian manifolds, Dirac reduction, Frobenius manifolds, Integrable systems",

author = "Dinar, {Yassir Ibrahim}",

year = "2008",

month = sep,

doi = "10.1016/j.geomphys.2008.04.001",

language = "English",

volume = "58",

pages = "1171--1185",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

publisher = "Elsevier",

number = "9",

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TY - JOUR

T1 - On classification and construction of algebraic Frobenius manifolds

AU - Dinar, Yassir Ibrahim

PY - 2008/9

Y1 - 2008/9

N2 - We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.

AB - We develop the theory of generalized bi-Hamiltonian reduction. Applying this theory to a suitable loop algebra we recover a generalized Drinfeld-Sokolov reduction. This gives a way to construct new examples of algebraic Frobenius manifolds.

KW - Bi-Hamiltonian manifolds

KW - Dirac reduction

KW - Frobenius manifolds

KW - Integrable systems

UR - http://www.scopus.com/inward/record.url?scp=50249177609&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=50249177609&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2008.04.001

DO - 10.1016/j.geomphys.2008.04.001

M3 - Article

AN - SCOPUS:50249177609

SN - 0393-0440

VL - 58

SP - 1171

EP - 1185

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 9

ER -

On classification and construction of algebraic Frobenius manifolds

ملخص

ASJC Scopus subject areas

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