Classification of Harish-Chandra modules over the Virasoro Lie algebra.
Olivier Mathieu (1992)
Inventiones mathematicae
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Displaying similar documents to “The supports of simple modules over toroidal algebras.”
Classification of Harish-Chandra modules over the Virasoro Lie algebra.
On a separation of orbits in the module variety for domestic canonical algebras
Piotr Dowbor, Andrzej Mróz (2008)
Colloquium Mathematicae
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Given a pair M,M' of finite-dimensional modules over a domestic canonical algebra Λ, we give a fully verifiable criterion, in terms of a finite set of simple linear algebra invariants, deciding if M and M' lie in the same orbit in the module variety, or equivalently, if M and M' are isomorphic.
Generalised Jantzen filtration of Lie superalgebras I
Yucai Su, R. B. Zhang (2012)
Journal of the European Mathematical Society
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A Jantzen type filtration for generalised Verma modules of Lie superalgebras is introduced. In the case of type I Lie superalgebras, it is shown that the generalised Jantzen filtration for any Kac module is the unique Loewy filtration, and the decomposition numbers of the layers of the filtration are determined by the coefficients of inverse Kazhdan–Lusztig polynomials. Furthermore, the length of the Jantzen filtration for any Kac module is determined explicitly in terms of the degree...
On representations of restricted Lie superalgebras
Yu-Feng Yao (2014)
Czechoslovak Mathematical Journal
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Simple modules for restricted Lie superalgebras are studied. The indecomposability of baby Kac modules and baby Verma modules is proved in some situation. In particular, for the classical Lie superalgebra of type , the baby Verma modules are proved to be simple for any regular nilpotent -character and typical weight . Moreover, we obtain the dimension formulas for projective covers of simple modules with -characters of standard Levi form.
On certain class of unitarizable representations of the Lie algebra
Molev, A. I.
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Module Structure on Effect Algebras
Simin Saidi Goraghani, Rajab Ali Borzooei (2020)
Bulletin of the Section of Logic
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In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. Finally, we introduce some topologies on effect modules.
Composition-diamond lemma for modules
Yuqun Chen, Yongshan Chen, Chanyan Zhong (2010)
Czechoslovak Mathematical Journal
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We investigate the relationship between the Gröbner-Shirshov bases in free associative algebras, free left modules and “double-free” left modules (that is, free modules over a free algebra). We first give Chibrikov’s Composition-Diamond lemma for modules and then we show that Kang-Lee’s Composition-Diamond lemma follows from it. We give the Gröbner-Shirshov bases for the following modules: the highest weight module over a Lie algebra , the Verma module over a Kac-Moody algebra, the...