… decomposition of a semi-simple finite dimensional complex Lie algebra g is about half a …
extensions from a simple highest weight module to a Verma module in category O. In Section 4 …

… We show that, for an arbitrary finite-dimensional quasi-… sends Verma modules to standard
Whittaker modules provided … modules in terms of composition factors of Verma modules in the …

… dimension. Finally, in Section 6, we investigate the projective dimensions of structural modules
… Now, we consider a two step projective–injective copresentation of Δ(λ) (whose existence …

… and right C-module, we can show (Theorem 2.11) that B is Iwanaga–Gorenstein of injective
dimension at most 2, while GPB is the category of Gorenstein projective B-modules and is …

… Firstly, we describe the corresponding module categories that … for global dimension and
dominant dimension respectively, … We recall that the dominant dimension of B-module A is the …

… Given an injective n-copresentation \(\Omega : 0\rightarrow T\… -module T is 1-tilting if and
only if it is a 1-silting module with … sincere 1-silting module with projective dimension at most one…

… 2 -modules and with tensoring with finite-dimensional modules [cf. Ref. 20 (Proposition 21)]. …
no finite-dimensional modules. This is an Abelian category with finite-dimensional Hom-…

… -}R\) of finite dimensional modules over a finite dimensional algebra R. Indeed, the simple
… injective envelope, we get a copresentation of \(F = F_{\mathcal {T}}\) by torsionfree injective …

… dimension version of support τ-tilting modules (and also silting modules), which we call (strongly)
n-AIR-tilting modules… ÑÑ Ck which we call a kc-copresentation. In case k “ 1, Pres1pcq …

… the self-injective dimensions at most n from both sides, and all modules are unitary. Given a
… of the left R-module X that n-copresented by M, that is, the left R-module X admits an exact …