Elliptic determinant evaluations and the Macdonald identities
for affine root systems
(32 pages)
Abstract.
We obtain several determinant evaluations, related to affine root
systems, which provide elliptic extensions of Weyl denominator formulas.
Some of these are new, also in the polynomial special case, while
others yield new proofs of the Macdonald identities for the seven
infinite families of irreducible reduced affine root systems.
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