A DEFORMATION OF THE BIG CELL INSIDE THE GRASSMANNIAN MANIFOLD G(r,n)
1999 ◽
Vol 11
(01)
◽
pp. 25-40
◽
Keyword(s):
De Rham
◽
In this paper we construct a quantum analogue of the big cell inside the grassmannian manifold. Our deformation comes in tandem with a coaction of the upper parabolic subgroup in SLn(k), giving to the big cell the structure of quantum homogeneous space. At the end we give the De Rham complex of the quantum big cell and we define a ring of differential operators acting on the quantum big cell.