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math.AC2007
Quaternionic matrices: Unitary similarity, simultaneous triangularization and some trace identities
Dragomir Z. Djokovic, Benjamin H. Smith
We construct six unitary trace invariants for 2 by 2 quaternionic matrices which separate the unitary similarity classes of such matrices, and show that this set is minimal. We pro…
math.AC2007
On orthogonal and special orthogonal invariants of a single matrix of small order
Dragomir Z. Djokovic
We study the structure of the algebra of polynomial invariants for the usual conjugation action of the complex special, SO_n, and general, O_n, orthogonal group on the space of tra…