A Note on Bruhat Decomposition of<i>GL</i>(<i>n</i>) over Local Principal Ideal Rings
A Note on Bruhat Decomposition of<i>GL</i>(<i>n</i>) over Local Principal Ideal Rings
Let A be a local commutative principal ideal ring. We study the double coset space of GL n (A) with respect to the subgroup of upper triangular matrices. Geometrically, these cosets describe the relative position of two full flags of free primitive submodules of A n . We introduce some …