Journal
MATHEMATICS
Volume 10, Issue 15, Pages -Publisher
MDPI
DOI: 10.3390/math10152658
Keywords
GIM Lie algebra; finite dimensional module; simple module
Categories
Funding
- National Natural Science Foundation of China [11871249, 12071405, 11971315, 12171155]
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This paper classifies all finite dimensional simple modules over the GIM Lie algebra Q(n+1) (2, 1) and Theta(2n+1), which are more complex in structure and have posed new difficulties in studying their representation theory.
GIM Lie algebras are the generalizations of Kac-Moody Lie algebras. However, the structures of GIM Lie algebras are more complex than the latter, so they have encountered many new difficulties to study their representation theory. In this paper, we classify all finite dimensional simple modules over the GIM Lie algebra Q(n+1) (2, 1) as well as those over Theta(2n+1).
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