Quasideterminants, I

Selecta Mathematica, New Series

Volumn 3, Issue 4, 1997, Pages 517-546

  Gelfand, I ^a   Retakh, V ^b,c  

^a RUTGERS UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

^c UNIVERSITY OF ARKANSAS   (United States)

Author keywords

Noncommutative algebra; Quasideterminants; Symmetric functions

Indexed keywords

EID: 53249123414     PISSN: 10221824     EISSN: 14209020     Source Type: Journal    
DOI: 10.1007/s000290050019     Document Type: Article

References (17)

1. P. M. Cohn. Skew Field Constructions. Cambridge Univ Press, 1977.
2. P. M. Cohn. Skew Fields. Cambridge Univ Press, 1995.
3. A. Connes and A. Schwarz. Matrix Vieta Theorem Revisited. Lett. Math. Physics 39 (1997), no. 4, 349-353.
4. P. Etingof, I. Gelfand, and V. Retakh. Factorization of Differential Operators, Quasi-determinants, and Nonabelian Toda Field Equations. Math. Res. Letters 4 (1997).
5. S. Fomin and An. Kirillov. Quadratic algebras, Dunkl operators, and Schubert Calculus. preprint (1997).
6. I. Gelfand and V. Retakh. Determinants of Matrices over Noncommutative Rings. Fund. Anal. Appl. 25 (1991), no. 2, 91-102.
7. I. Gelfand and V. Retakh. A Theory of Noncommutative Determinants and Characteristic Functions of Graphs. Funct. Anal. Appl. 26 (1992), no. 4, 1-20.
8. I. Gelfand and V. Retakh. A Theory of Noncommutative Determinants and Characteristic Functions of Graphs. I. Publ. LACIM, UQAM, Montreal 14 (1993), 1-26.
9. I. Gelfand and V. Retakh. Gelfand Mathematical Seminars 1993-95. Birkhauser, 1996.
10. I. Gelfand, D. Krob, A. Lascoux, B. Leclerc, V. Retakh, and J.-Y. Thibon. Noncommutative Symmetric Functions. Advances in Math 112 (1995), no. 2, 218-348.
11. A. Givental. Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture. alg-geom 9612001 (1996).
12. N. Jacobson. Lectures in Abstract Algebra, Vol II - Linear Algebra. D. van Nostrand Company, Inc, Princeton, NJ, 1953.
13. D. Krob and B. Leclerc. Minor Identities for Quasi-Determinants and Quantum Determinants. Comm. Math. Phys. 169 (1995), no. 1, 1-23.
14. A. Molev. Noncommutative Symmetric Functions and Laplace Operators for Classical Lie Algebras. Lett. Math. Phys. 35 (1995), no. 2, 135-143.
15. I. Pak, A. Postnikov and V. Retakh. Noncommutative Lagrange Inversion. preprint (1995).
16. C. Reutenauer. Inversion Height in Free Fields. Selecta Mathematica 2 (1996), no. 1, 93-109.
17. A. Razumov, M. Saveliev. Maximally Nonabelian Toda Systems. Nuclear Physics B (1997).