Hermitian forms on Hilbert spaces arise from the monoid structure of complex conjugation in Z/2-equivariant real linear types within LHoTT, requiring only a negative unit term.
Berndt, An introduction to symplectic geometry , Graduate Studies in Mathematics 26 , American Mathematical Society (2001), [ ams:gsm-26 https://bookstore.ams.org/gsm-26]
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Hermitian forms on Hilbert spaces arise from the monoid structure of complex conjugation in Z/2-equivariant real linear types within LHoTT, requiring only a negative unit term.