A Note on Bruhat Decomposition ofGL(n) over Local Principal Ideal Rings
نویسندگان
چکیده
منابع مشابه
A NOTE ON BRUHAT DECOMPOSITION OF GL(n) OVER LOCAL PRINCIPAL IDEAL RINGS
Let A be a local commutative principal ideal ring. We study the double coset space of GLn(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. We introduce some invariants of the double cosets. If k is the length of the ring, we determine for which of the pairs (n, k) the dou...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2006
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870600876250