Further Pieri-type formulas for the nonsymmetric Macdonald polynomial
نویسنده
چکیده
The branching coefficients in the expansion of the elementary symmetric function multiplied by a symmetric Macdonald polynomial Pκ(z) are known explicitly. These formulas generalise the known r = 1 case of the Pieri-type formulas for the nonsymmetric Macdonald polynomials Eη(z). In this paper, we extend beyond the case r = 1 for the nonsymmetric Macdonald polynomials, giving the full generalisation of the Pieri-type formulas for symmetric Macdonald polynomials. The decomposition also allows the evaluation of the generalised binomial coefficients ( η ν ) q,t associated with the nonsymmetric Macdonald polynomials.
منابع مشابه
Pieri-Type Formulas for the Nonsymmetric Macdonald Polynomials
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