This article extends techniques concerning Frobenius extensions in order to study enveloping algebras of restricted Lie superalgebras. In particular, we determine those restricted Lie superalgebras whose enveloping algebras are of finite representation type. In contrast to the non-graded case these algebras are not necessarily serial.
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Tohoku Univ, Tohoku Forum Creat, Aoba Ku, 2-1-1 Katahira, Sendai, Miyagi, JapanNew York Univ Abu Dhabi, Div Sci & Math, POB 129188, Abu Dhabi, U Arab Emirates
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New York Univ Abu Dhabi, Div Sci & Math, POB 129188, Abu Dhabi, U Arab EmiratesNew York Univ Abu Dhabi, Div Sci & Math, POB 129188, Abu Dhabi, U Arab Emirates
机构:
Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R ChinaHarbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
Bai, Wei
Liu, Wende
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Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R ChinaHarbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China
机构:
New York Univ Abu Dhabi, Div Sci & Math, POB 129188, Abu Dhabi, U Arab EmiratesNew York Univ Abu Dhabi, Div Sci & Math, POB 129188, Abu Dhabi, U Arab Emirates
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UASLP, Fac Ciencias, San Luis Potosi, SLP, MexicoUASLP, Fac Ciencias, San Luis Potosi, SLP, Mexico
Rodriguez-Vallarte, M. C.
Salgado, G.
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UASLP, Fac Ciencias, San Luis Potosi, SLP, Mexico
Univ Autonoma San Luis Potosi, Matemat, San Luis Potosi, MexicoUASLP, Fac Ciencias, San Luis Potosi, SLP, Mexico
机构:
School of Mathematical Sciences, Heilongjiang University
School of Mathematical and Statistics, Northeast Normal UniversitySchool of Mathematical Sciences, Heilongjiang University
Ji Xia YUAN
Liang Yun CHEN
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School of Mathematical and Statistics, Northeast Normal UniversitySchool of Mathematical Sciences, Heilongjiang University
Liang Yun CHEN
Yan CAO
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Department of Mathematics, Harbin University of Science and TechnologySchool of Mathematical Sciences, Heilongjiang University
机构:
Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R ChinaHeilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
Yuan, Ji Xia
Chen, Liang Yun
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Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R ChinaHeilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
Chen, Liang Yun
Cao, Yan
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Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R ChinaHeilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China