Polyhedral K_2

Details Polyhedral K_2 Polyhedral K_2

2001-04-21

arxiv.org/abs/math/0104206v2

Mathematics

K-Theory and Homology

final version, to appear in Manuscripta Mathematica

Scientific paper

Using elementary graded automorphisms of polytopal algebras (essentially the coordinate rings of projective toric varieties) polyhedral versions of the group of elementary matrices and the Steinberg and Milnor groups are defined. They coincide with the usual K-theoretic groups in the special case when the polytope is a unit simplex and can be thought of as compact/polytopal substitutes for the tame automorphism groups of polynomial algebras. Relative to the classical case, many new aspects have to be taken into account. We describe these groups explicitly when the underlying polytope is 2-dimensional. Already this low-dimensional case provides interesting classes of groups.

Affiliated with

Also associated with

No associations

Rating

Polyhedral K_2 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 Polyhedral K_2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polyhedral K_2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143693