2 01 5 Tokuyama - Type Formulas for Type B
نویسنده
چکیده
Abstract. We obtain explicit formulas for the product of a deformed Weyl denominator with the character of an irreducible representation of the spin group Spin2r+1(C), which is an analogue of the formulas of Tokuyama for Schur polynomials and Hamel-King for characters of symplectic groups. To give these, we start with a symplectic group and obtain such characters using the Casselman-Shalika formula. We then analyze this using objects which are naturally attached to the metaplectic double cover of an odd orthogonal group, which also has dual group Spin2r+1(C).
منابع مشابه
Tokuyama-type Formulas for Type B
We obtain explicit formulas for the product of a deformed Weyl denominator with the character of an irreducible representation of the spin group Spin2r+1(C), which is an analogue of the formulas of Tokuyama for Schur polynomials and Hamel-King for characters of symplectic groups. To give these, we start with a symplectic group and obtain such characters using the Casselman-Shalika formula. We t...
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