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| Classification of Quasifinite Modules with Nonzero Central Charges for EALAs of Type A with Coordinates in Quantum Torus |
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Citation： |
Rencai Lü.Classification of Quasifinite Modules with Nonzero Central Charges for EALAs of Type A with Coordinates in Quantum Torus[J].Chinese Annals of Mathematics B,2009,30(2):129~138 |
| Page view： 1714
Net amount： 1118 |
Authors： |
Rencai Lü; |
Foundation： |
the Post Doctorate Research Grant from the Ministry of Science and Technology
of China (No. 20060390526) and the National Natural Science Foundation of China (No. 10601057). |
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| Abstract： |
The author first constructs a Lie algebra $\FL:=\FL(q,w_d)$ from
rank 3 quantum torus, which is isomorphic to the core of EALAs of
type $\mbox{A}_{d-1}$ with coordinates in quantum torus $C_{q^d}$,
and then gives the necessary and sufficient conditions for the
highest weight modules to be quasifinite. Finally the irreducible
$\BZ$-graded quasifinite $\FL$-modules with nonzero central charges
are classified. |
Keywords： |
Core of EALAs, Graded modules, Quasifinite module, Highest weight
module, Quantum torus |
Classification： |
17B10, 17B60, 17B65, 17B68 |
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