Smash Products of Quasi-hereditary Graded Algebras
نویسنده
چکیده
The Smash product of a finite dimensional quasi-hereditary algebra graded by a finite group with the group is proved to be a quasihereditary algebra. Some elementary relations between the good modules of the two quasi-hereditary algebras are given.
منابع مشابه
L-R-smash product for (quasi) Hopf algebras
We introduce a more general version of the so-called L-R-smash product and study its relations with other kinds of crossed products (two-sided smash and crossed product and diagonal crossed product).
متن کامل2 5 A ug 2 00 5 L - R - smash product for ( quasi ) Hopf algebras ∗
We introduce a more general version of the so-called L-R-smash product and study its relations with other kinds of crossed products (two-sided smash and crossed product and diagonal crossed product). We also give an interpretation of the L-R-smash product in terms of an L-R-twisting datum.
متن کاملGorenstein global dimensions for Hopf algebra actions
Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
متن کاملINTEGRAL AND GRADED QUASI-HEREDITARY ALGEBRAS, II WITH APPLICATIONS TO REPRESENTATIONS OF GENERALIZED q-SCHUR ALGEBRAS AND ALGEBRAIC GROUPS
We consider a pair (a, A) consisting of a quasi-hereditary algebra A and a (positively) graded subalgebra a. We present conditions which guarantee that the algebra grA obtained by grading A by its radical filtration is quasi-hereditary and Koszul. In such cases, we also show that the standard and costandard modules for A have a structure as graded modules for a. These results are applied to obt...
متن کاملQuiver Schur Algebras for the Linear Quiver I
We define a graded quasi-hereditary covering for the cyclotomic quiver Hecke algebras Rn of type A when e = 0 (the linear quiver) or e ≥ n. We show that these algebras are quasi-hereditary graded cellular algebras by giving explicit homogeneous bases for them. When e = 0 we show that the KLR grading on the quiver Hecke algebras is compatible with the gradings on parabolic category OΛ n previous...
متن کامل