Would the set of Hermitian matrices inside the Lie algebra $$\mathfrak{u}(p,q):= \{X\in \mathbf{M}_n(\mathbb{C}): X^{*}I_{p,q}= -I_{p,q}X\},$$ form a Lie subalgebra? Are there any good references pertaining to these indefinite unitary Lie algebras that could answer this question?
2026-03-25 11:01:40.1774436500
Question about a subset in the Lie algebra $\mathfrak{u}(p,q)$
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