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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 388, Pages 196–209 (Mi znsl4111)  
Invariant subalgebras of involutorial quaternion division algebras

A. V. Prokopchuk, V. I. Yanchevskiĭ

Institute of Mathematics of the National Academy of Sciences of Belarus
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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
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 183, Issue 5, Pages 685–691
DOI: https://doi.org/10.1007/s10958-012-0833-0
Bibliographic databases:
Document Type: Article
UDC: 514.142
Language: Russian
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
Citation in format AMSBIB
\Bibitem{ProYan11}
\by A.~V.~Prokopchuk, V.~I.~Yanchevski{\v\i}
\paper Invariant subalgebras of involutorial quaternion division algebras
\inbook Problems in the theory of representations of algebras and groups. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 388
\pages 196--209
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4111}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 183
\issue 5
\pages 685--691
\crossref{https://doi.org/10.1007/s10958-012-0833-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862252436}
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