Gelfand-Kirillov dimensions of the ℤ2-graded oscillator representations of $$\mathfrak{s}\mathfrak{l}$$ ( n )
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4237-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4237-1 | ||
| 100 | 1 | |a Bai |D Zhan |u Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100190, Beijing, P. R. China |4 aut | |
| 245 | 1 | 0 | |a Gelfand-Kirillov dimensions of the ℤ2-graded oscillator representations of $$\mathfrak{s}\mathfrak{l}$$ ( n ) |h [Elektronische Daten] |c [Zhan Bai] |
| 520 | 3 | |a We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible $$\mathfrak{s}\mathfrak{l}$$ (n, $$\mathbb{F}$$ )-modules that appeared in the ℤ2-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Gelfand-Kirillov dimension |2 nationallicence | |
| 690 | 7 | |a highest-weight module |2 nationallicence | |
| 690 | 7 | |a associated variety |2 nationallicence | |
| 690 | 7 | |a minimal GK-dimension module |2 nationallicence | |
| 690 | 7 | |a universal enveloping algebra |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/6(2015-06-01), 921-937 |x 1439-8516 |q 31:6<921 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4237-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4237-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Bai |D Zhan |u Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100190, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/6(2015-06-01), 921-937 |x 1439-8516 |q 31:6<921 |1 2015 |2 31 |o 10114 | ||