دورية أكاديمية
Study of Gram matrices in Fock representation of multiparametric canonical commutation relations, extended Zagier's conjecture, hyperplane arrangements and quantum groups
| العنوان: | Study of Gram matrices in Fock representation of multiparametric canonical commutation relations, extended Zagier's conjecture, hyperplane arrangements and quantum groups |
|---|---|
| المؤلفون: | Meljanac, S., Svrtan, D. |
| المصدر: | Mathematical Communications (mc@mathos.hr); Vol.1 No.1 |
| بيانات النشر: | Department of Mathematics, University of Osijek |
| سنة النشر: | 1996 |
| المجموعة: | Hrčak - Portal of scientific journals of Croatia / Portal znanstvenih časopisa Republike Hrvatske |
| مصطلحات موضوعية: | Multiparametric canonical commutation relations, deformed partial derivatives, lattice of subdivisions, deformed regular representation, quantum bilinear form, Zagier's conjecture |
| الوصف: | In this Colloquium Lecture D.Svrtan reported on the joined research with S.Meljanac on the subject given in the title. By quite laborious mathematics it is explained how one can handle systems in which each Heisenberg commutation relation is deformed separately. For Hilbert space realizability a detailed determinant computations (extending Zagier's one - parametric formulas) are carried out. The inversion problem of the associated Gram matrices on Fock weight spaces is completely solved (Extended Zagier's conjecture) and a counterexample to the original Zagier's conjecture is presented in detail. |
| نوع الوثيقة: | text |
| وصف الملف: | |
| اللغة: | English |
| العلاقة: | http://hrcak.srce.hr/1843Test; http://hrcak.srce.hr/file/2883Test |
| الإتاحة: | http://hrcak.srce.hr/1843Test http://hrcak.srce.hr/file/2883Test |
| حقوق: | The full text of articles published in this journal can be used free of charge for personal and educational purposes while respecting authors' and publisher's copyrights. Annual subscription to printed copies is USD 50.00. Members of the Osijek Mathematical Society and the Mathematical Club of the Department of Mathematics receive this journal free of charge. |
| رقم الانضمام: | edsbas.FB15CE2C |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |