Any good anagrams for zonal polynomial?

In mathematics, a zonal polynomial is a multivariate symmetric homogeneous polynomial. The zonal polynomials form a basis of the space of symmetric polynomials. They appear as zonal spherical functions of the Gelfand pairs ( S 2 n , H n ) {\displaystyle (S_{2n},H_{n})} (here, H n {\displaystyle H_{n}} is the hyperoctahedral group) and ( G l n ( R ) , O n ) {\displaystyle (Gl_{n}(\mathbb {R} ),O_{n})} , which means that they describe canonical basis of the double class algebras C [ H n ∖ S 2 n / H n ] {\displaystyle \mathbb {C} [H_{n}\backslash S_{2n}/H_{n}]} and C [ O d ( R ) ∖ M d ( R ) / O d ( R ) ] {\displaystyle \mathbb {C} [O_{d}(\mathbb {R} )\backslash M_{d}(\mathbb {R} )/O_{d}(\mathbb {R} )]} . They are applied in multivariate statistics. The zonal polynomials are the α = 2 {\displaystyle \alpha =2} case of the C normalization of the Jack function.

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