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- W4292166947 abstract "For a Lie groupoid G over a smooth manifold M we construct the adjoint action of the etale Lie groupoid G# of germs of local bisections of G on the Lie algebroid g of G. With this action, we form the associated convolution C_c(M)/R-bialgebra C_c(G#,g). We represent this C_c(M)/R-bialgebra in the algebra of transversal distributions on G. This construction extends the Cartier-Gabriel decomposition of the Hopf algebra of distributions with finite support on a Lie group." @default.
- W4292166947 created "2022-08-18" @default.
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- W4292166947 date "2022-10-01" @default.
- W4292166947 modified "2023-10-16" @default.
- W4292166947 title "Convolution bialgebra of a Lie groupoid and transversal distributions" @default.
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- W4292166947 doi "https://doi.org/10.1016/j.geomphys.2022.104642" @default.
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