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Differential Operator Approach to ıquantum Groups and Their Oscillator Representations.
- Source :
-
Acta Mathematica Sinica . May2024, Vol. 40 Issue 5, p1360-1374. 15p. - Publication Year :
- 2024
-
Abstract
- For a quasi-split Satake diagram, we define a modified q-Weyl algebra, and show that there is an algebra homomorphism between it and the corresponding ıquantum group. In other words, we provide a differential operator approach to ıquantum groups. Meanwhile, the oscillator representations of ıquantum groups are obtained. The crystal basis of the irreducible subrepresentations of these oscillator representations are constructed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL operators
*HOMOMORPHISMS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 40
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 177250574
- Full Text :
- https://doi.org/10.1007/s10114-024-2151-0