326 citations
- Max Planck SocietyDE96 papers
- Max Planck Institute for Mathematics in the SciencesDE23 papers
- Capital Normal UniversityCN4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Collège de FranceFR3 papers
- Northwestern UniversityUS3 papers
- Fudan UniversityCN2 papers
- Leipzig UniversityDE2 papers
- Princeton UniversityUS2 papers
- The University of AdelaideAU2 papers
- University Hospital MagdeburgDE2 papers
- University of BonnDE2 papers
Showing 2003 · math.QAShow all
3 papers · 2 filters
math.QA2003★ 5 cited
Cluster algebras and Weil-Petersson forms
Michael Gekhtman, Michael Shapiro, Alek Vainshtein
In our previous paper we have discussed Poisson properties of cluster algebras of geometric type for the case of a nondegenerate matrix of transition exponents. In this paper we co…
math.QA2003★ 2 cited
Invariant *-products on coadjoint orbits and the Shapovalov pairing
A. Alekseev, A. Lachowska
We give an explicit formula for invariant *-products on a wide class of coadjoint orbits. The answer is expressed in terms of the Shapovalov pairing for generalized Verma modules.
math.QA2003★ 11 cited
Functional equations for quantum theta functions
Yu. I. Manin
Quantum theta functions were introduced by the author in [Ma1]. They are certain elements in the function rings of quantum tori. By definition, they satisfy a version of the classi…