82 citations · 311 across the 36 of their papers we have counts for
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Symplectic polynomial invariants of one or two matrices of small size
Dragomir Z. Djokovic
The algebra of holomorphic polynomial Sp_{2n}-invariants of k complex 2n by 2n matrices (under diagonal conjugation action) is generated by the traces of words in these matrices an…
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…
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…
Poincare series of some pure and mixed trace algebras of two generic matrices
Dragomir Z. Djokovic
We work over a field K of characteristic zero. The Poincare series for the algebra C_{n,2} of GL_n-invariants and the algebra T_{n,2} of GL_n-concomitants of two generic n x n matr…