We consider a generalization of lifting modules relative to a class A of modules and a proper class E of short exact sequences of modules. These modules will be called E-A-lifting. We establish characterizations of modules with the property that every direct sum of copies of them is E-A-lifting. 2000 Mathematics Subject Classification: 16S90, 16D80.

We investigate a generalization of extending modules relative to a class of modules and a proper class of short exact sequences of modules.

Abstract Kottwitz’s conjecture describes the contribution of a supercuspidal representation to cohomology local Shimura variety in terms Langlands correspondence. A natural extension this concerns Scholze’s more general spaces shtukas. Using new Lefschetz–Verdier trace formula for v-stacks, we prove extended conjecture, disregarding action Weil group, and modulo virtual whose character vanishes...

There are four broad grounds upon which the intelligibility of quantification over absolutely everything has been questioned—one based upon the existence of semantic indeterminacy, another on the relativity of ontology to a conceptual scheme, a third upon the necessity of sortal restriction, and the last upon the possibility of indefinite extendibility. The argument from semantic indeterminacy ...

Abstract This paper gives a classification of stable vectors in dual Vinberg representations coming from graded Lie algebra type F 4 way that is independent the field definition. Relating these gradings to Moy–Prasad filtrations, we obtain input for Reeder–Yu’s construction epipelagic supercuspidal representations. As corollary, this new $F_{4}(\mathbb {Q}_{p})$ <mml:math xmlns:mml="http://www....

We construct a Langlands parameterization of supercuspidal representations $G_2$ over $p$-adic field. More precisely, for any finite extension $K / \QQ_p$ we will bijection \[ \CL_g : \CA^0_g(G_2,K) \rightarrow \CG^0(G_2,K) \] from the set generic $G_2(K)$ to irreducible continuous homomorphisms $\rho W_K \to G_2(\CC)$ with $W_K$ Weil group $K$. The construction map is simply matter assembling ...

It is a standard assumption that subordinate clauses like relative, embedded declarative, and interrogative clauses in natural language vary according to their morphosyntactic and semantic characteristics. Their morphosyntactic variation is expressed in the presence/absence of a wh-word, a relative pronoun, or an overt complementizer; syntactic transparency (embedded declaratives) or opacity (e...