Elliptic Algebras and Equivariant Elliptic Cohomology
Abstract
In this paper we explain the parallelism in the classification of three different kinds of mathematical objects: (i) Classical rmatrices. (ii) Generalized cohomology theories that have Chern classes for complex vector bundles. (iii) 1dimensional formal groups. The main point of the paper is a construction of the elliptic algebra associated to Belavin's classical elliptic rmatrix in terms of Equivariant elliptic cohomology of the Steinberg varieties associated to some partial flag manifolds.
 Publication:

eprint arXiv:qalg/9505012
 Pub Date:
 May 1995
 DOI:
 10.48550/arXiv.qalg/9505012
 arXiv:
 arXiv:qalg/9505012
 Bibcode:
 1995q.alg.....5012G
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Algebraic Geometry
 EPrint:
 28 pages, Plain TeX