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For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.

Twisted group rings of strongly unbounded representation type

Leonid F. Barannyk, Dariusz Klein (2004)

Colloquium Mathematicae

Let S be a commutative local ring of characteristic p, which is not a field, S* the multiplicative group of S, W a subgroup of S*, G a finite p-group, and $S^{λ} G$ a twisted group ring of the group G and of the ring S with a 2-cocycle λ ∈ Z²(G,S*). Denote by $I n d_{m} (S^{λ} G)$ the set of isomorphism classes of indecomposable $S^{λ} G$ -modules of S-rank m. We exhibit rings $S^{λ} G$ for which there exists a function $f_{λ} : ℕ \to ℕ$ such that $f_{λ} (n) \geq n$ and $I n d_{f_{λ} (n)} (S^{λ} G)$ is an infinite set for every natural n > 1. In special cases $f_{λ} (ℕ)$ contains every natural number m >...

Twisted Hopf Algebras.

Rene Ruchti (1979)

Commentarii mathematici Helvetici

Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties.

Wenchen Chi (1986)

Mathematische Annalen

Two classes of almost Galois coverings for algebras

Piotr Dowbor, Adam Hajduk (2012)

Colloquium Mathematicae

We prove that for any representation-finite algebra A (in fact, finite locally bounded k-category), the universal covering F: Ã → A is either a Galois covering or an almost Galois covering of integral type, and F admits a degeneration to the standard Galois covering F̅: Ã→ Ã/G, where $G = Π (Γ_{A})$ is the fundamental group of $Γ_{A}$ . It is shown that the class of almost Galois coverings F: R → R’ of integral type, containing the series of examples from our earlier paper [Bol. Soc. Mat. Mexicana 17 (2011)], behaves...

Displaying 281 – 294 of 294

Truncated microsupport and holomorphic solutions of D-modules

Tubular mutations

Twist quantization of string and Hopf algebraic symmetry.

Twisted (co)homologica stability for monoids of endomorphisms.

Twisted gamma filtration and algebras with orthogonal involution

Twisted group rings of strongly unbounded representation type

Twisted Hopf Algebras.

Twists of Central Simple Algebras and Endomorphism Algebras of Some Abelian Varieties.

Two classes of almost Galois coverings for algebras

Two elementary commutativity theorems for generalized Boolean rings.

Two examples of inverse semigroups algebras.

Two results concerning symmetric bi-derivations on prime rings.

Two-dimensional orders of finite representation type.

Two-sided essential nilpotence.

Currently displaying 281 – 294 of 294