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Tame orders

E. Dieterich (1990)

Banach Center Publications

Tame three-partite subamalgams of tiled orders of polynomial growth

Daniel Simson (1999)

Colloquium Mathematicae

Assume that K is an algebraically closed field. Let D be a complete discrete valuation domain with a unique maximal ideal p and residue field D/p ≌ K. We also assume that D is an algebra over the field K . We study subamalgam D-suborders $Λ^{•}$ (1.2) of tiled D-orders Λ (1.1). A simple criterion for a tame lattice type subamalgam D-order $Λ^{•}$ to be of polynomial growth is given in Theorem 1.5. Tame lattice type subamalgam D-orders $Λ^{•}$ of non-polynomial growth are completely described in Theorem 6.2 and Corollary...

Tame triangular matrix algebras

Zbigniew Leszczyński, Andrzej Skowroński (2000)

Colloquium Mathematicae

We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra $T_{2} (A)$ of 2×2 upper triangular matrices over A is of tame representation type. Moreover, the algebras A for which $T_{2} (A)$ is of polynomial growth (respectively, domestic, of finite representation type) are also characterized.

Tameness criterion for posets with zero-relations and three-partite subamalgams of tiled orders

Stanisław Kasjan (2002)

Colloquium Mathematicae

A criterion for tame prinjective type for a class of posets with zero-relations is given in terms of the associated prinjective Tits quadratic form and a list of hypercritical posets. A consequence of this result is that if $Λ^{•}$ is a three-partite subamalgam of a tiled order then it is of tame lattice type if and only if the reduced Tits quadratic form $q_{Λ^{•}}$ associated with $Λ^{•}$ in [26] is weakly non-negative. The result generalizes a criterion for tameness of such orders given by Simson [28] and gives an...

The canonical algebras

Claus Michael Ringel (1990)

Banach Center Publications

The Grothendieck ring of quantum double of quaternion group

Hua Sun, Jia Pang, Yanxi Shen (2024)

Czechoslovak Mathematical Journal

Let $𝕜$ be an algebraically closed field of characteristic $p \neq 2$ , and let $Q_{8}$ be the quaternion group. We describe the structures of all simple modules over the quantum double $D (𝕜 Q_{8})$ of group algebra $𝕜 Q_{8}$ . Moreover, we investigate the tensor product decomposition rules of all simple $D (𝕜 Q_{8})$ -modules. Finally, we describe the Grothendieck ring $G_{0} (D (𝕜 Q_{8}))$ by generators with relations.

Displaying 61 – 72 of 72

Tame orders

Tame three-partite subamalgams of tiled orders of polynomial growth

Tame triangular matrix algebras

Tameness criterion for posets with zero-relations and three-partite subamalgams of tiled orders

The canonical algebras

The Grothendieck ring of quantum double of quaternion group

The modular representation theory of q-Schur algebras. II.

The pure-projective ideal of a module category

Tubular mutations

Некоторые вложения колец. I

Некоторые вложения колец. II

Об обобщенных целочисленных представлениях над дедекиндовыми кольцами

Currently displaying 61 – 72 of 72