homotopy theory, (∞,1)-category theory, homotopy type theory
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An -matrix with entries in the complex numbers (for a natural number) is unitary if the following equivalent conditions hold
it preserves the canonical inner product on ;
the operation of transposing it and then applying complex conjugation to all its entries takes it to its inverse:
hence equivalently:
For fixed , the unitary matrices under matrix product form a Lie group: the unitary group (or other notations).
Last revised on August 13, 2020 at 09:34:37. See the history of this page for a list of all contributions to it.