Partial differential equation approach to E 7
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3533-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3533-0 | ||
| 100 | 1 | |a Xu |D Xiao |u Hua Loo-Keng Mathematical Laboratory, Institute of Mathematics, Academy of Mathematics & System Sciences, Chinese Academy of Sciences, 100190, Beijing, P. R. China |4 aut | |
| 245 | 1 | 0 | |a Partial differential equation approach to E 7 |h [Elektronische Daten] |c [Xiao Xu] |
| 520 | 3 | |a By solving certain partial differential equations, we find the explicit decomposition of the polynomial algebra over the 56-dimensional basic irreducible module of the simple Lie algebra E 7 into a sum of irreducible submodules. This essentially gives a partial differential equation proof of a combinatorial identity on the dimensions of certain irreducible modules of E 7. We also determine two three-parameter families of irreducible submodules in the solution space of Cartan's well-known fourth-order E 7-invariant partial differential equation. | |
| 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 Simple Lie algebra E 7 |2 nationallicence | |
| 690 | 7 | |a partial differential equation |2 nationallicence | |
| 690 | 7 | |a irreducible module |2 nationallicence | |
| 690 | 7 | |a decomposition |2 nationallicence | |
| 690 | 7 | |a combinatorial identity |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 177-200 |x 1439-8516 |q 31:2<177 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3533-0 |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/s10114-015-3533-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Xu |D Xiao |u Hua Loo-Keng Mathematical Laboratory, Institute of Mathematics, Academy of Mathematics & 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 31/2(2015-02-01), 177-200 |x 1439-8516 |q 31:2<177 |1 2015 |2 31 |o 10114 | ||