Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-16T16:18:09.481Z Has data issue: false hasContentIssue false

Cohomology of Subregular Tilting Modules for Small Quantum Groups

Published online by Cambridge University Press:  04 December 2007

Viktor Ostrik
Affiliation:
Independent Moscow University,11 Bolshoj Vlasjevskij Per., Moscow 121002 Russia. e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let U be a quantumgroup with divid d powers at root ofunity constructed froma root system R .Let u U b th small quantumgroup. The cohomology of u with trivial coefficients was computed by Ginzburg and Kumar. It turns out to be isomorphic to the functions algebra of the nilpotent cone of a semisimpl algebraic group with root system R. In this not we calculate cohomology of u with coefficients in simplest reducible tilting modul with nontrivial cohomology. It appears to b isomorphic to th functions algebra of th closure of the subregular nilpotent orbit.

Type
Research Article
Copyright
© 2002 Kluwer Academic Publishers