Minor Identities for Quasideterminants and Quantum Determinants
D. Krob, B. Leclerc
TL;DR
This paper introduces new identities involving quasi-minors of noncommutative matrices, specializing them to quantum matrices to produce q-analogues of classical determinantal formulas, advancing understanding in noncommutative algebra.
Contribution
It provides novel identities for quasi-minors and extends classical determinantal formulas to the quantum setting, enriching the theory of quantum determinants.
Findings
Derived identities for quasi-minors of noncommutative matrices
Established q-analogues of classical determinantal formulas
Enhanced the algebraic framework for quantum matrices
Abstract
We present several identities involving quasi-minors of noncommutative generic matrices. These identities are specialized to quantum matrices, yielding q-analogues of various classical determinantal formulas.
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