Homogeneous localizations of some quantum enveloping superalgebras

被引：0
|
作者：
Alev, Jacques [1 ]
Dumas, Francois [2 ]
机构：
[1] Univ Reims, Lab Math, UMR 9008 CNRS, Moulin Housse,BP 1039, F-51687 Reims 2, France
[2] Univ Clermont Auvergne, LMBP, CNRS, F-63000 Clermont Ferrand, France
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 01期
关键词：
Superalgebra; Lie superalgebra; enveloping algebra; quantum superalgebra; Gelfand-Kirillov hypothesis; REPRESENTATIONS; ALGEBRAS;
D O I：
10.1142/S0219498821400053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under suitable conditions the skewfield of fractions of a superalgebra which is a noetherian domain is canonically provided with a structure of superalgebra. This gives rise to a notion of rational equivalence in the category of superalgebras. We study from the point of view of this rational equivalence some low dimensional examples of quantum enveloping algebras of Lie superalgebras.
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页数：25
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