Three Lectures on Quasideterminants
نویسنده
چکیده
Robert Lee Wilson Department of Mathematics Rutgers University The determinant of a matrix with entries in a commutative ring is a main organizing tool in commutative algebra. In these lectures, we present an analogous theory, the theory of quasideterminants, for matrices with entries in a not necessarily commutative ring. The theory of quasideterminants was originated by I. Gelfand and V. Retakh.
منابع مشابه
Quaternionic Quasideterminants and Determinants
Quasideterminants of noncommutative matrices introduced in [GR, GR1] have proved to be a powerfull tool in basic problems of noncommutative algebra and geometry (see [GR, GR1-GR4, GKLLRT, GV, EGR, EGR1, ER,KL, KLT, LST, Mo, Mo1, P, RS, RRV, Rsh, Sch]). In general, the quasideterminants of matrix A = (aij) are rational functions in (aij)’s. The minimal number of successive inversions required to...
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