The condition is called Somatoparaphrenia, and was first described by Josef Gerstmann, in this paper:
Gerstmann, J. (1942). Problem of imperception of disease and of impaired body territories with organic lesions: relation to body scheme and its disorders. Archives of Neurology and Psychiatry, 48(6), 890.
For a more recent review of the topic, see:
Vallar, G., & Ronchi, R. (2009). Somatoparaphrenia: a body delusion. A review of the neuropsychological literature. Experimental Brain Research, 192(3), 533-551.
Relevant parts from this review's abstract:
Somatoparaphrenia has been reported, with a few exceptions, in
right-brain-damaged patients, with motor and somatosensory deficits, and the syndrome of unilateral spatial neglect.
Somatoparaphrenia, most often characterized by a delusion
of disownership of left-sided body parts, may however
occur without associated anosognosia for motor deficits,
and personal neglect ... Somatoparaphrenia is often brought about by extensive right-sided lesions, but patients with posterior (parietal-temporal), and
insular damage are on record, as well as a few patients with