We explain how Queffelec–Sartori’s construction of the HOMFLY-PT link polynomial can be interpreted in terms parabolic Verma modules for \({\mathfrak {gl}_{2n}}\). Lifting to world categorification, we use 2-Verma give a higher representation theory Khovanov–Rozansky’s triply graded homology.

Abstract We classify Harish-Chandra modules generated by the pullback to metaplectic group of harmonic weak Maaß forms with exponential growth allowed at cusps. This extends work Schulze-Pillot and parallels recent Bringmann–Kudla, who investigated case integral weights. realize each our cases via a regularized theta lift an weight form. in both half-integral that occur need not be irreducible....

let $r$ be a commutative noetherian ring with non-zero identity, $fa$ an ideal of $r$, and $x$ an $r$--module. here, for fixed integers $s, t$ and a finite $fa$--torsion $r$--module $n$, we first study the membership of $ext^{s+t}_{r}(n, x)$ and $ext^{s}_{r}(n, h^{t}_{fa}(x))$ in the serre subcategories of the category of $r$--modules. then, we present some conditions which ensure the exi...

We introduce notions of finite presentation and co-exactness which serve as qualitative quantitative analogues finite-dimensionality for operator modules over completely contractive Banach algebras. With these we begin the development a local theory by introducing lifting property, nuclearity, semi-discreteness. For large class prove that property is equivalent to flatness, generalizing space r...

let r be a ring,  be an endomorphism of r and mr be a -rigid module. amodule mr is called quasi-baer if the right annihilator of a principal submodule of r isgenerated by an idempotent. it is shown that an r-module mr is a quasi-baer module if andonly if m[[x]] is a quasi-baer module over the skew power series ring r[[x; ]].

A efficient VLSI based architecture is proposed in this paper for implementation Discrete Wavelet Transform (DWT) of 5/3 filter. The proposed architecture includes transforms modules, a RAM and bus interfaces. This architecture works in non separable fashion using a serial-parallel filter with distributed control to compute all the DWT (1D-DWT and 2D-DWT) resolution levels. KeywordsDiscrete Wav...

Automorph class theory formalism is developed for the case of integral nonsingular quadratic forms in an odd number of variables. As an application, automorph class theory is used to construct a lifting of similitudes of quadratic Z-modules of arbitrary nondegenerate ternary quadratic forms to morphisms between certain subrings of associated Clifford algebras. The construction explains and gene...

A major part of this paper is devoted to an in-depth study j -operators and their properties. This enables us obtain several results on liftings weak DG modules along simple extensions algebras unify the proofs existing obtained by authors these subjects. Finally, we provide a new characterization (weak) lifting property algebras.