The Groups of Regular Complex Polygons
1961 ◽
Vol 13
◽
pp. 149-156
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Keyword(s):
The two-dimensional unitary space, U2, is a complex vector space of points (x, y) = (x1 + ix2, y1 + iy2), for which the distance between (x, y) and (x', y') is defined by . A unitary transformation is a linear transformation which preserves distance. A line is the set of points (x, y) satisfying some complex equation ax + by = c. A unitary transformation is a (unitary) reflection if it is of finite period n > 1 and leaves a line pointwise invariant. Thus à unitary matrix represents a reflection if its two characteristic roots are 1 and a complex nth root (n > 1) of 1.
2009 ◽
Vol 125
(4)
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pp. 2538-2538
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1976 ◽
Vol 28
(6)
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pp. 1311-1319
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A note on holomorphic matric automorphic factors with respect to a lattice in a complex vector space
1976 ◽
Vol 63
◽
pp. 163-171
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1994 ◽
Vol 36
(3)
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pp. 301-308
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1976 ◽
Vol 80
(2)
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pp. 337-347
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Keyword(s):
2013 ◽
Vol 2015
(5)
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pp. 1247-1262
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Keyword(s):
1963 ◽
Vol 3
(2)
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pp. 180-184
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