| 11. | As the unitary group does not contain the zero matrix, this action is free.
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| 12. | The manifold for is Cartesian product of the unitary group with a vector space of dimension.
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| 13. | The unitary group is the group of fixed points of the product of these two automorphisms.
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| 14. | Pierre Deligne and George Mostow used his ideas to construct lattices in the projective unitary group.
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| 15. | Unitary operators are paramount to quantum theory, so unitary groups are important in particle physics.
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| 16. | Thus, it can be used to determine the Clebsch Gordan series for any unitary group.
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| 17. | Such matrices form a Lie group called SU ( 2 ) ( see special unitary group ).
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| 18. | For example cocompact unitary group of a form of signature ( n, 1 ) are hyperbolic.
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| 19. | If transformation g is a member of a unitary group of transformations, then the following holds:
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| 20. | Similar equations can be written for any one-parameter unitary group of symmetries of the physical system.
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