The fine structure of translation functors, the triangle function and a construction of R-matrices

Let E be a simple finite-dimensional representation of a semisimple Lie algebra <br>with extremal weight <br>u and let e in E_{ <br>u} nonzero. <br>Let M( au) be the Verma module with highest weight au and v_{ au} the canonical <br>generator. <br>We investigate the projection of e otimes v_{ au} in E otimes M( au) on the <br>central character chi( au + <br>u). This is a rational function in au and we <br>calculate its poles and zeros. <br>We then apply this result in order to compare translation functors. <br>We also describe a transformation for quantum dynamical R-matrices.

Author dc:creator

• Günzl, Karen

Contributors dc:contributor

• Soergel, Wolfgang

• Kategorie O
• Verschiebungsfunktoren
• Dreiecksfunktion
• quantendynamische Yang-Baxter-Gleichung
• representation theory
• Lie algebra
• translation functor
• Verma module
• R-matrix

Repository record source_url

https://freidok.uni-freiburg.de/data/67

OAI identifier oai:identifier

oai:freidok.uni-freiburg.de:67