Invariant integral on classical groups and algebraic harmonic analysis

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dc.creatorAlvarez, Amelia
dc.creatorSancho, Carlos
dc.creatorSancho, Pedro
dc.date2006-11-10
dc.date2008-11-12
dc.date.accessioned2026-07-07T10:17:32Z
dc.date.available2026-07-07T10:17:32Z
dc.descriptionLet $G={\rm Spec} A$ be a linearly reductive group and let $w_G\in A^*$ be the invariant integral on $G$. We establish the harmonic analysis on $G$ and we compute $w_G$ when $G=Sl_n, Gl_n, O_n, Sp_{2n}$ by geometric arguments and by means of the Fourier transform.
dc.description17 pages, some new results added
dc.identifierhttps://arxiv.org/abs/math/0611312
dc.identifierhttp://arxiv.org/abs/math/0611312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173887
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14L24 (Primary) 14L17 (Secondary)
dc.titleInvariant integral on classical groups and algebraic harmonic analysis
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