Dynamical Weyl Groups and Applications

By Pavel Etingof, A. Varchenko. 2000

112 citations recorded by the source corpus.

Abstract Following a preceding paper of Tarasov and the second author, we define and study a new structure, which may be regarded as the dynamical analog of the Weyl group for Lie algebras and of the quantum Weyl group for quantized enveloping algebras. We give some applications of this new structure.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fe001def11ceea55f42decfc399eb6aebd29a8d0

Citations in the corpus

• Lectures on K-theoretic computations in enumerative geometry (2015, unknown): “Intertwining operators between Verma modules, which is the main technical tool of [28], are only available for real simple roots and so don’t yield a large enough dynamical Weyl group as soon as the quiver is not of finite type.”