Simple graded division algebras over the field of real numbers
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Publication:898792
DOI10.1016/j.laa.2015.10.021zbMath1395.16046arXiv1506.00281OpenAlexW2963144637MaRDI QIDQ898792
Mikhail V. Zaicev, Yu. A. Bakhturin
Publication date: 18 December 2015
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.00281
Graded rings and modules (associative rings and algebras) (16W50) Finite-dimensional division rings (16K20)
Related Items (16)
Fine gradings and automorphism groups on associative algebras ⋮ Gradings on classical central simple real Lie algebras ⋮ Unnamed Item ⋮ Clifford algebras as twisted group algebras and the Arf invariant ⋮ Identities and central polynomials for real graded division algebras ⋮ Classification of division gradings on finite-dimensional simple real algebras. ⋮ Graded identities of simple real graded division algebras ⋮ Real representations of \(C_2\)-graded groups: the antilinear theory ⋮ Classification of involutions on graded-division simple real algebras ⋮ Gradings on associative algebras with involution and real forms of classical simple Lie algebras ⋮ Pauli gradings on Lie superalgebras and graded codimension growth ⋮ Graded division algebras over the field of real numbers ⋮ Graded-division algebras and Galois extensions ⋮ Graded-division algebras over arbitrary fields ⋮ On nonassociative graded-simple algebras over the field of real numbers ⋮ On generic \(G\)-graded Azumaya algebras
Cites Work
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- Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
- Methods of graded rings.
- Gradings on simple Jordan and Lie algebras
- Lie gradings on associative algebras
- GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS
- Group Gradings on Matrix Algebras
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