Friedrich Wagemann
Deformations of the Lie algebra o(5) in characteristics 3 and 2.
Tue, 09/22/2009 - 14:09 — SomNambulAuthors: Friedrich Wagemann, Sofiane Bouarroudj, Alexei Lebedev
Subjects: Representation Theory
AbstractThe finite dimensional simple modular Lie algebras with Cartan matrix cannot
be deformed if the characteristic p of the ground field is equal to 0 or
greater than 3. If p=3, the orthogonal Lie algebra o(5)is one of the two simple
modular Lie algebras with Cartan matrix that have deformations (the Brown
algebras br(2; a) are among these 10-dimensional deforms and hence are not
counted separately); the 29-dimensional Brown algebra br(3) is the only other
simple Lie algebra with Cartan matrix that has deformations.On Hopf 2-algebras.
Tue, 08/18/2009 - 11:53 — SomNambulAuthors: Yael Fregier, Friedrich Wagemann
Subjects: Group Theory
AbstractOur main goal in this paper is to translate the diagram relating groups,
Lie algebras and Hopf algebras to the corresponding 2-objects, i.e. to
categorify it. This is done interpreting 2-objects as crossed modules and
showing the compatibility of the standard functors linking groups, Lie algebras
and Hopf algebras with the concept of a crossed module. One outcome is the
construction of an enveloping algebra of the string Lie algebra of Baez-Crans,
another is the clarification of the passage from crossed modules of Hopf
algebras to Hopf 2-algebras.- 3 comments
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