QUANTUM MINORS ASSOCIATED TO YANG-BAXTER OPERATORS

References

• Artin , M. , Schelter , W. and Tate , J. 1991 . Quantum Deformations of GLn . Comm. Pure and Appl. Math. , 44 : 879 – 895 .
   Web of Science ®Google Scholar
• Berezin , F.A. 1987 . “ Introduction to Superanalysis ” . In Mathematical Physics and Applied Mathematics Series 9, D. Dordrecht-Holland : Reidel Publishing Company .
   Google Scholar
• Dieudonné , M.J. 1943 . Les Déterminants Sur Un Corps Non Commutatif. . Bulletin de la Société Matématique de France , 71 : 27 – 45 .
   Google Scholar
• Fadeev , L. , Reshetikhin , L. and Takhtajan , L. 1990 . Quantization of Lie Groups and Lie Algebras . Leningrad Math. J. , 1 : 193 – 228 .
   Google Scholar
• Gawedzki , K. 1977 . Supersymmetries; Mathematics of Supergeometry . Ann. Inst. Henri Poincaré , 27 : 335 – 366 .
   Google Scholar
• Gelfand , I.M. and Retakh , V.S. 1990 . Determinants over Noncommutative rings . Funct. Anal. Appl. , 25 : 91 – 102 .
   Web of Science ®Google Scholar
• Kostant , B. Graded Manifolds Graded Lie Theory and Prequantization . Lecture Notes in Math., Proc. Conf. on Diff. Geom. Methods in Math. Phys. Bonn 1975; , Edited by: Bleuler , K. and Reetz , A. Vol. 570 , pp. 177 – 306 . New York : Springer Verlag .
   Google Scholar
• Manin , Y.I. 1982 . Some Remarks on Koszul Algebras and Quantum Groups . Ann. Inst. Fourier , 37 : 191 – 205 .
   Web of Science ®Google Scholar
• Manin , Y.I. 1988 . Gauge Field Theory and Complex Geometry New York : Springer-Verlag .
   Google Scholar
• Manin , Y.I. 1988 . Quantum Groups and Non-commutative Geometry Montreal : Montreal University .
   Google Scholar
• Manin , Y.I. 1989 . Multiparametric Quantum Deformation of the General Linear Supergroup . Commun. Math. Phys. , 123 : 163 – 175 .
   Web of Science ®Google Scholar
• Pop , H.C. 1997 . Row-reducing the Quantum Determinant and Dieudonné Determinant . J. Algebra , 193 : 318 – 339 .
   Web of Science ®Google Scholar
• 1998 . Addendum: J. Algebra , 205 : 333 – 335 .
   Google Scholar
• Sánchez-Valenzuela , O.A. and Victoria-Monge , C. 2000 . Universal Homogeneous Derivations of Graded ϵ-commutative Algebras . Comm. Algebra , 28 : 3643 – 3660 .
   Web of Science ®Google Scholar
• Sánchez-Valenzuela , O.A. and Victoria-Monge , C. 2001 . Colored Yang-Baxter Operators and Representations of the Braid and Symmetric Groups . Comm. Algebra , 30
   Web of Science ®Google Scholar
• Towber, J. Some Properties of -graded Determinants, Modular Interfaces, AMS/IP Stud. Adv. Math. 4, Amer. Math. Soc. Providence, RI, 1995.
   Google Scholar
• Victoria , C. 1998 . Cohomology Ring of Supermanifolds . New Zealand Jour. Math. , 27 : 123 – 144 .
   Google Scholar
• Victoria , C. 1998 . Symmetric and Antisymmetric Tensors over Free Supermodules . New Zealand Jour. Math. , 27 : 277 – 291 .
   Google Scholar
• Victoria , C. 1998 . Forms and Cohomology of Supermanifolds Under Review . J. Geom. and Phys. , 26 : 171 – 181 .
   Web of Science ®Google Scholar