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This paper presents observations of an extended Lyman-alpha emission nebulasurrounding the galaxy responsible for the Damped Lyman-alpha Absorption (DLA)line in the spectrum of the quasar Q2233+131. With the Potsdam Multi ApertureSpectrophotometer (PMAS) we measure the properties of the extended Ly-alphaemission in an area of 3"* 5" having a total line flux of (2.8+/-0.3)*10^{-16}erg cm-2 s-1, which at redshift z=3.15 corresponds to a luminosity of (2.4-0.2/+0.3)*10^{43} erg s-1 and a size of 23 times 38 kpc. The location of theemission is spatially coincident with the previously detected DLA galaxy, butextends significantly beyond its limb. We argue that the Ly-alpha emission islikely to be caused by an outflow from the DLA galaxy, presumably powered bystar formation. In the case of negligible dust extinction, the Ly-alphaluminosity indicates a star-formation rate of 19+/-10 solar masses per yearconsistent with that derived from the UV continuum flux from the parent galaxy.The wind velocity indicated by the integral field spectra is of the order ofseveral hundred km s-1. We find no indication of emission originating in arotating disk.Comment: 12 pages, 7 figures, accepted for publication in A&

Integral field spectroscopy of extended Ly$\mathsf{\alpha}$ emission from the DLA galaxy in Q2233+131