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Spherical functions on homogeneous superspaces

Ruibin Zhang, Yi Ming Zou

math.RTarXiv:math/0608693

Abstract

Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and the structures of the superalgebras of the spherical functions on classes of homogeneous superspaces are described explicitly.

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