Standard Monomial Theory for Bott-Samelson Varieties of GL(n)

Details Standard Monomial Theory for Bott-Samelson Varieties of GL(n) Standard Monomial Theory for Bott-Samelson Varieties of GL(n)

1997-03-15

arxiv.org/abs/alg-geom/9703020v1

Mathematics

Algebraic Geometry

Northeastern University, pmagyar@lynx.neu.edu AMSTeX amsppt

Scientific paper

10.1016/S0764-4442(99)80401-7

We construct an explicit basis for the coordinate ring of the Bott-Samelson
variety Z_i associated to G = GL(n) and an arbitrary sequence of simple
reflections i. Our basis is parametrized by certain standard tableaux and
generalizes the Standard Monomial basis for Schubert varieties. Our standard
tableaux have a natural crystal graph structure.

Affiliated with

Also associated with

No associations

Rating

Standard Monomial Theory for Bott-Samelson Varieties of GL(n) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Standard Monomial Theory for Bott-Samelson Varieties of GL(n), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Standard Monomial Theory for Bott-Samelson Varieties of GL(n) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496987