Quantum symmetric functions

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dc.creatorDiaz, Rafael
dc.creatorPariguan, Eddy
dc.date2003-12-29
dc.date2004-12-04
dc.date.accessioned2026-07-07T06:31:18Z
dc.date.available2026-07-07T06:31:18Z
dc.descriptionWe study quantum deformations of Poisson orbivarieties. Given a Poisson manifold $(\mathbb{R}^{m},α)$ we consider the Poisson orbivariety $(\mathbb{R}^{m})^{n}/S_{n}$. The Kontsevich star product on functions on $(\mathbb{R}^{m})^{n}$ induces a star product on functions on $(\mathbb{R}^{m})^{n}/S_{n}$. We provide explicit formulae for the case ${{\mathfrak h} \times {\mathfrak h}}/\mathcal{W}$, where ${\mathfrak h}$ is the Cartan subalgebra of a classical Lie algebra ${\mathfrak g}$ and $\mathcal{W}$ is the Weyl group of ${\mathfrak h}$. We approach our problem from a fairly general point of view, introducing Polya functors for categories over non-symmetric Hopf operads.
dc.descriptionFinal version. To appear in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/math/0312494
dc.identifierhttp://arxiv.org/abs/math/0312494
dc.identifierCommunications in Algebra, Volume 33, Number 6 (2005), 1947-1978
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98565
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleQuantum symmetric functions
dc.typetext

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