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The Principal SO(1,2) Subalgebra of a Hyperbolic Kac Moody Algebra | | H. Nicolai
; D.I. Olive
; | | Date: |
18 Jul 2001 | | Journal: | Lett.Math.Phys. 58 (2001) 141-152 | | Subject: | hep-th | | Abstract: | The analog of the principal SO(3) subalgebra of a finite dimensional simple Lie algebra can be defined for any hyperbolic Kac Moody algebra g(A) associated with a symmetrizable Cartan matrix A, and coincides with the non-compact group SO(1,2). We exhibit the decomposition of g(A) into representations of SO(1,2); with the exception of the adjoint SO(1,2) algebra itself, all of these representations are unitary. We compute the Casimir eigenvalues; the associated ``exponents’’ are complex and non-integer. | | Source: | arXiv, hep-th/0107146 | | Services: | Forum | Review | PDF | Favorites | |
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