QUASIDETERMINANTS (V. Retakh)

1. Definition and general properties of quasideterminants (noncommutative Gauss

elimination; heredity principle, noncommutative Sylvester identities)

2. Quasi-Plücker coordinates, Gauss factorizations, noncommutative Bruhat cells

3. Noncommutative determinants (quaternionic determinants, quantum determinants, Capelli determinants, Berezianians, Yangians)

4. Noncommutative continued fractions and orthogonal polynomials

5. Noncommutative diferential algebra and integrable systems