Spinors in Hilbert space
1976 ◽
Vol 80
(2)
◽
pp. 337-347
◽
Keyword(s):
In 1913, É. Cartan discovered that the special orthogonal groupSO(k) has a ‘two-valued’ representation (i.e. a projective representation) on a complex vector spaceSof dimension 2n, wherek= 2nor 2n+ 1. The projective representation in question lifts to a true representation of the double cover Spin (k) ofSO(k). We restrict attention to the casek= 2n. Under the action of Spin (2n),Sbreaks up into 2 irreducible subspaces:The vectors inSare calledspinors(relative toSO(2n)), those inS+orS−are calledhalf-spinors(4).
2009 ◽
Vol 125
(4)
◽
pp. 2538-2538
◽
1976 ◽
Vol 28
(6)
◽
pp. 1311-1319
◽
A note on holomorphic matric automorphic factors with respect to a lattice in a complex vector space
1976 ◽
Vol 63
◽
pp. 163-171
◽
1994 ◽
Vol 36
(3)
◽
pp. 301-308
◽
2013 ◽
Vol 2015
(5)
◽
pp. 1247-1262
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Keyword(s):
1963 ◽
Vol 3
(2)
◽
pp. 180-184
◽
Keyword(s):