Group Gradings on Associative Algebras

188 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Classification of group gradings on simple Lie algebras of types A, B, C and D☆ (2009, background): “A G-grading on U is a vector space decomposition U = ⊕ g∈G Ug such that UgUh ⊂ Ugh for all g, h ∈ G. Ug is called the homogeneous component of degree g.”
Identities of PI-Algebras Graded by a Finite Abelian Group (2011, unknown): “It follows from [ 8 ] that <inline-graphic xmlns:xlink="http://www.”
Gradings on simple Jordan and Lie algebras (2005, unknown): “Recall (see [3]) that the grading R =⊕g∈GRg on the matrix algebra R = Mn(F) is called elementary if there exists an n-tuple (g1, .”
Fine gradings on simple classical Lie algebras (2009, unknown): “are some missing ﬁne gradings in this last reference. The complete list appears in our Theorem 6.9. A more conceptual approach to gradings on the simple classical Lie algebras have been considered in [BSZ01], [BShZ05], [BZ06] or [BG08], based on the study of the gradings on associative algebras. (No”
Gradings on Finite-Dimensional Simple Lie Algebras (2009, methodology): “Then any “fine” grading is a tensor product of gradings (4) by generalized Pauli matrices, as shown in [12] for charF= 0 and in [9, Theorem 8] for arbitrary characteristic:”