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math.RT2005
The -orbit of , Kostant's formula for powers of the Euler product and affine Weyl groups as permutations of Z
Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi
Let an affine Weyl group act as a group of affine transformations on a real vector space V. We analyze the -orbit of a regular element in V and deduce applications…
math-ph2005
Decomposition rules for conformal pairs associated to symmetric spaces and abelian subalgebras of Z_2-graded Lie algebras
Paola Cellini, Victor G. Kac, Pierluigi Moseneder Frajria +1
We give uniform formulas for the branching rules of level 1 modules over orthogonal affine Lie algebras for all conformal pairs associated to symmetric spaces. We also provide a co…