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math.DG2025
Symplectic groups over Lie subgroups of involutive algebras
Eugen Rogozinnikov
We introduce the symplectic group associated to a Lie subgroup of a (possibly noncommutative) associative algebra equipped with an anti-involution …
math.DG2025
Symmetric spaces for groups over involutive algebras and applications to Higgs bundles
Pengfei Huang, Georgios Kydonakis, Eugen Rogozinnikov +1
We study symplectic groups and indefinite orthogonal groups over involutive, possibly noncommutative, algebras . In the case when the algebra is Hermitian, or the…