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Lie Stack Deformations

โœ Scribed by Lieven Le Bruyn

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
293 KB
Volume
196
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Enveloping algebras of Lie stacks give irreducible Hopf algebra deformations of ลฝ . U แ’„ which are neither commutative nor cocommutative. In this paper we present and study a large class of examples of Lie stacks. In particular, we show that the PBW-bases of these Hopf algebras do not have to be finite in general. Further, we ลฝ . ลฝ construct a non-cocommutative Hopf structure on U แ’„ usually with antipode of . infinite order whenever แ’„ has a codimension one Lie ideal แ’… such that the quotient has the แ’…-weight of an eigenvector of H 2 แ’….

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## Abstract Using the transmission electron microscopy dissociated dislocations containing stacking faults were observed in Mg single crystals, deformed in (0001) <1120> slip system, and in Zn single crystals deformed in {1122} <1123> slip system. The overlapping flat stacking faults lying in {110