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We state three types of hypergeometric summation formulas associated with the exceptional root system F4∨, which are motivated from Bailey's summation formula for a very-well-poised-balanced ψ66 basic hypergeometric series.
We give a generalization of Weyl's denominator formulas for the classical groups. We consider the matrices whose constituents are the characters of the respective classical groups in the restricted variables for each column of the matrices and show that the determinants of the matrices are equal to the powers of the fundamental alternating polynomials (the original denominators of Weyl's denominator...
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