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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 388, Pages 196–209
(Mi znsl4111)
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Invariant subalgebras of involutorial quaternion division algebras
A. V. Prokopchuk, V. I. Yanchevskiĭ Institute of Mathematics of the National Academy of Sciences of Belarus
Abstract:
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.
Key words and phrases:
quaternion algebra, involution of an algebra, canonical involution of a quaternion algebra.
Received: 05.04.2011
Citation:
A. V. Prokopchuk, V. I. Yanchevskiǐ, “Invariant subalgebras of involutorial quaternion division algebras”, Problems in the theory of representations of algebras and groups. Part 21, Zap. Nauchn. Sem. POMI, 388, POMI, St. Petersburg, 2011, 196–209; J. Math. Sci. (N. Y.), 183:5 (2012), 685–691
Linking options:
https://www.mathnet.ru/eng/znsl4111 https://www.mathnet.ru/eng/znsl/v388/p196
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Abstract page: | 227 | Full-text PDF : | 64 | References: | 38 |
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