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In the simple case n = 1, the group U (1) corresponds to the circle group, consisting of all complex numbers with absolute value 1, under multiplication. All the unitary groups contain copies of this group. The unitary group U ( n) is a real Lie group of dimension n2. See more
In mathematics, the unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of See more
The unitary group U(n) is endowed with the relative topology as a subset of M(n, C), the set of all n × n complex matrices, which is itself … See more
In the language of G-structures, a manifold with a U(n)-structure is an almost Hermitian manifold. See more
From the point of view of Lie theory, the classical unitary group is a real form of the Steinberg group $${\displaystyle {}^{2}\!A_{n}}$$, which is an algebraic group that … See more
Since the determinant of a unitary matrix is a complex number with norm 1, the determinant gives a group homomorphism
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The unitary group is the 3-fold intersection of the orthogonal, complex, and symplectic groups: See moreThe unitary groups are the automorphisms of two polynomials in real non-commutative variables: See more
Wikipedia text under CC-BY-SA license WebU, or u, is the twenty-first letter and the fifth vowel letter of the Latin alphabet, used in the modern English alphabet, the alphabets of other …
- Language of origin: Latin
- Writing system: Latin script
- Type: Alphabetic
- Unicode codepoint: U+0055, U+0075
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