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arxiv: math/0608693 · v2 · submitted 2006-08-28 · 🧮 math.RT · math-ph· math.MP

Spherical functions on homogeneous superspaces

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keywords homogeneoussuperspacesfunctionssphericalalgebraicarisingclassesdescribed
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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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