Results 131 to 140 of about 382 (159)
A remark on the Cartan matrix of a certain p -block
A remark on the Cartan matrix of a certain p -blockopenaire +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Cartan Matrix for the Finite Symplectic Group Sp(6, 3)
Algebra Colloquium, 2003The Cartan matrix for \(\text{Sp}(6,3)\) in characteristic 3 is computed from the Brauer character table.
Jiachen Ye
exaly +3 more sources
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 ...
exaly +3 more sources
Exceptional Sequences Determined by their Cartan Matrix
Algebras and Representation Theory, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lenzing, Helmut, Meltzer, Hagen
openaire +1 more source
On Toda system with Cartan matrix $G_2$
Proceedings of the American Mathematical Society, 2015Summary: We consider the Toda system \[ \Delta u_i + \sum _{j = 1}^2 a_{ij}e^{u_j} = 4\pi \gamma _{i}\delta _{0}\text{ in }\mathbb{R}^2, \quad \int _{\mathbb{R}^2}e^{u_i} dx < \infty ,\text{ for } i=1,2, \] where \( \gamma _{i} > -1\), \( \delta _0\) is the Dirac measure at 0, and the coefficients \( a_{ij}\) are of the Cartan matrix of rank 2: \( A_2,
Ao, Weiwei +2 more
openaire +2 more sources
1995
Unless otherwise indicated it is assumed in the remainder of this text that char k = 0 and that q is an indeterminate.
openaire +1 more source
Unless otherwise indicated it is assumed in the remainder of this text that char k = 0 and that q is an indeterminate.
openaire +1 more source
The inverse of a Cartan matrix
1992The 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 +2 more sources
Some results on the cartan matrix of a frobenius algebra
Communications in Algebra, 1996Let F be a field and A a Frobenius algebra over F. The Jacobson radical of A is denoted by J = J(A) and the kth socle of A by S k (A). Let [Abar]=A/J k or A/S k (A). This article gives new interesting relations between the Cartan matrix of A and that of [Abar].
openaire +1 more source
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.
openaire +2 more sources