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The inverse of a Cartan matrix

1992
The Cartan matrix is treated as a matrix modelled on the incidence matrix of a tree. Moreover, an explicit formula for the entries of the inverse of a Cartan matrix is given.
Lusztig, George, Tits, Jacques
openaire   +1 more source

Lie algebras of an affinization of a generalized Cartan matrix

Archiv der Mathematik, 1998
The 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 ...
openaire   +2 more sources

Array Manifold Curves in ${\Fraktur {C}}^{N}$ and Their Complex Cartan Matrix

IEEE Journal on Selected Topics in Signal Processing, 2013
A. Manikas, Harry Commin, A. Sleiman
semanticscholar   +1 more source

On the Cartan matrix of a left Artinian ring

1992
The 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.
openaire   +2 more sources

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Cartan Matrix

2004
Alain Connes   +6 more
openaire   +1 more source

Groups with the same Cartan matrix as PSL(2,r)

1997
Groups with the same Cartan matrix as PSL(2,r)
R. Brandl, V. Fedri, SERENA, LUIGI
openaire   +1 more source

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