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Irreducible Representations of GLn(ℂ) of Minimal Gelfand–Kirillov Dimension.
- Source :
-
Acta Mathematica Sinica . Mar2024, Vol. 40 Issue 3, p639-657. 19p. - Publication Year :
- 2024
-
Abstract
- In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of G = GLn(ℂ) possessing the minimal Gelfand–Kirillov dimension and those induced from finite-dimensional representations of the maximal parabolic subgroup of G of type (n − 1,1). We give the transition matrix between the two bases for the corresponding coherent families. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 40
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 175847048
- Full Text :
- https://doi.org/10.1007/s10114-024-3207-x