9 citations · 27 across the 19 of their papers we have counts for
4 papers · 1 filter
Lie pairs
Letterio Gatto, Louis Rowen
Extending the theory of systems, we introduce a theory of Lie semialgebra ``pairs'' which parallels the classical theory of Lie algebras, but with a ``null set'' replacing . A s…
Clifford semialgebras
Adam Chapman, Letterio Gatto, Louis Rowen
We introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the…
Hasse--Schmidt Derivations and Cayley--Hamilton Theorem for Exterior Algebras
Letterio Gatto, Inna Scherbak
Using the natural notion of {\em Hasse--Schmidt derivations on an exterior algebra}, we relate two classical and seemingly unrelated subjects. The first is the celebrated Cayley--H…
Remarks on the Cayley-Hamilton Theorem
Letterio Gatto, Inna Scherbak
We revisit the classical theorem by Cayley and Hamilton, "{\em each endomorphism is a root of its own characteristic polynomial}", from the point of view of {\em Hasse--Schmidt der…