Invariant subalgebras of involutorial quaternion division algebras
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 196-209
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Let $K/k$ be a separable quadratic field extension. For quaternion division algebras with $K/k$ involutions $\tau$ their $\tau$-invariant $k$-subalgebras are studied. We give a complete description of such subalgebras up to $k$-isomorphisms.
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