Let V be a vertex operator algebra and G a finite automorphism group of V . For each g ∈ G and nonnegative rational number n ∈ Z/|g|, a g-twisted Zhu algebra Ag,n(V ) plays an important role in the theory of vertex operator algebras, but the given product in Ag,n(V ) depends on the eigenspaces of g. We show that there is a uniform definition of products on V and we introduce a G-twisted Zhu alg...

The Hochschild cohomology of a tensor product algebras is isomorphic to graded algebras, as Gerstenhaber algebra. A similar result holds when the twisted by bicharacter. We present new proofs these isomorphisms, using Volkov’s homotopy liftings that were introduced for handling brackets expressed on arbitrary bimodule resolutions. Our results illustrate utility theoretical purposes.

For a twisted partial action Θ of a group G on an (associative nonnecessarily unital) algebra A over a commutative unital ring k, the crossed product A⋊ΘG is proved to be associative. Given a G-graded k-algebra B = ⊕g∈GBg with the mild restriction of homogeneous non-degeneracy, a criteria is established for B to be isomorphic to the crossed product B1⋊ΘG for some twisted partial action of G on ...

The purpose of this study was to determine the level high school skills in UKM students Muhammadiyah University Surakarta. survey method and data collection techniques for tests measurements Nurhasan. results are based on Descriptive Analysis Data frequency stated form Percentages Smash Open 1 sample interval 17.16 or fall into very good category with a score 2.50%, 11 samples 13.05-17.16 27.50...

For a space X acted by a finite group Γ, the product space X affords a natural action of the wreath product Γn = Γ n ⋊ Sn. The direct sum of equivariant K-groups ⊕ n≥0 KΓn(X )⊗C were shown earlier by the author to carry several interesting algebraic structures. In this paper we study the Kgroups K H̃Γn (X) of Γn-equivariant Clifford supermodules on X . We show that F Γ (X) = ⊕ n≥0 H̃Γn (X)⊗ C is ...