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Conjugacy invariants of quaternion matrices. (English) Zbl 1462.15034

Summary: In this paper, we find new conjugacy invariants of \(\mathrm{Sl}(3,\mathbb{H})\). This result is a generalization of B. Foreman’s result [Linear Algebra Appl. 381, 25–35 (2004; Zbl 1048.15015)] for \(\mathrm{Sl}(2,\mathbb{H})\).

MSC:

15B33 Matrices over special rings (quaternions, finite fields, etc.)
51M10 Hyperbolic and elliptic geometries (general) and generalizations

Citations:

Zbl 1048.15015
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Full Text: DOI

References:

[1] H. Aslaksen, Quaternionic determinants, Math. Intelligencer 18 (1996), no. 3, 57-65. https://doi.org/10.1007/BF03024312 · Zbl 0881.15007 · doi:10.1007/BF03024312
[2] B. Foreman, Conjugacy invariants of Sl(2, H), Linear Algebra Appl. 381 (2004), 25-35. https://doi.org/10.1016/j.laa.2003.11.002 · Zbl 1048.15015 · doi:10.1016/j.laa.2003.11.002
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