From loop groups to 2-groups
نویسندگان
چکیده
منابع مشابه
From Loop Groups to 2-Groups
We describe an interesting relation between Lie 2-algebras, the Kac– Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism called the ‘Jacobiator’. Similarly, a Lie 2-group is a categorified version of a Lie group. If G is a simply-connected compact simple Lie group...
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0. Introduction 1 0.1. The Finite-Dimensional Case SU(n) 2 0.2. The Infinite-Dimensional Case LSU(n) 4 0.3. Plan of this Dissertation 13 1. Factorization and Coordinates for Finite-Dimensional Lie Groups 16 1.1. Lie Algebras 16 1.2. Lie Groups 19 1.3. Parametrizations with Sequences of Simple Roots 22 1.4. Parametrizations with Inversion Sets 26 2. Reduced Words for Infinite Elements of Affine ...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2007
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2007.v9.n2.a4