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Lie algebras of an affinization of a generalized Cartan matrix
Archiv der Mathematik, 1998The author defines the affinized Lie algebra \(g_a(A^{[1]})\) of \(A^{[1]}\), a 1-fold affinization of a generalized Cartan matrix \(A\) of finite or affine type and proves that the affinized Lie algebra \(g_a (A^{[1]})\) and the radical free contragredient Lie algebra \(g_c (A^{[1]})\) are homomorphic images of a Lie algebra with finitely generated ...
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On the Cartan matrix of a left Artinian ring
1992The Cartan matrix \(C\) of a left Artinian ring \(R\) does not contain a sufficient amount of information for deciding whether \(R\) has finite or infinite left global dimension. Nevertheless the matrix \(C\) can give some important information about the global dimension.
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The (q, t)-Cartan matrix specialized at \(q=1\) and its applications
Mathematische Zeitschrift, 2023Se-Jin Oh
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Coefficients of non-negative quasi-Cartan matrices, their symmetrizers and Gram matrices
Discrete Applied Mathematics, 2021Andrzej Mroz
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Deformed Cartan matrices and generalized preprojective algebras II: general type
Mathematische Zeitschrift, 2023Kota Murakami, Ryo Fujita
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Rational cohomology and Cartan matrix
Topology and its ApplicationsChi-Heng Zhang, Nan Gao, Zi-Cheng Cheng
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Groups with the same Cartan matrix as PSL(2,r)
1997Groups with the same Cartan matrix as PSL(2,r)
R. Brandl, V. Fedri, SERENA, LUIGI
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Isomorphisms of Upper Cartan-Matrix Lie Algebras
Proceedings of the London Mathematical Society, 1980openaire +1 more source
Graphical characterization of positive definite non symmetric quasi-Cartan matrices
Discrete Mathematics, 2018Claudia Perez, Daniel G Rivera
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