Irreducible Modules Over Witt Algebras and Over

H Tan, K Zhao - Algebras and Representation Theory, 2018 - Springer
In this paper, by using the “twisting technique” we obtain a class of new modules A b over
the Witt algebras W n W_n from modules A over the Weyl algebras K n K_n (of Laurent …

The algebra of integro-differential operators on a polynomial algebra

VV Bavula - Journal of the London Mathematical Society, 2011 - academic.oup.com
We prove that the algebra of integro-differential operators on a polynomial algebra is a
prime, central, catenary, self-dual, non-Noetherian algebra of classical Krull dimension n …

The prime spectrum and simple modules over the quantum spatial ageing algebra

VV Bavula, T Lu - Algebras and Representation Theory, 2016 - Springer
The Prime Spectrum and Simple Modules Over the Quantum Spatial Ageing Algebra Page
1 Algebr Represent Theor (2016) 19:1109–1133 DOI 10.1007/s10468-016-9613-8 The …

[HTML][HTML] Irreducible Witt modules from Weyl modules and gln-modules

G Liu, R Lu, K Zhao - Journal of Algebra, 2018 - Elsevier
For an irreducible module P over the Weyl algebra K n+(resp. K n) and an irreducible
module M over the general linear Lie algebra gl n, using Shen's monomorphism, we make …

Weight modules for Weyl algebras

V Bekkert, G Benkart, V Futorny - Contemporary Mathematics, 2004 - books.google.com
We investigate weight modules for finite and infinite Weyl algebras, reducing the
classification of such simple modules to the determination of maximal ideals in certain …

Introducing crystalline graded algebras

E Nauwelaerts, F Van Oystaeyen - Algebras and Representation Theory, 2008 - Springer
Introducing Crystalline Graded Algebras Page 1 Algebr Represent Theor (2008) 11:133–148
DOI 10.1007/s10468-007-9078-x Introducing Crystalline Graded Algebras Erna …

[图书][B] Glider representations

F Caenepeel, F Van Oystaeyen - 2019 - taylorfrancis.com
Glider Representations offer several applications across different fields within Mathematics,
thereby motivating the introduction of this new glider theory and opening numerous doors for …

Torsion simple modules over the quantum spatial ageing algebra

VV Bavula, T Lu - Communications in Algebra, 2017 - Taylor & Francis
Full article: Torsion simple modules over the quantum spatial ageing algebra Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

Dixmier's Problem 5 for the Weyl algebra

VV Bavula - Journal of Algebra, 2005 - Elsevier
Dixmier’s Problem 5 for the Weyl algebra Page 1 Journal of Algebra 283 (2005) 604–621
www.elsevier.com/locate/jalgebra Dixmier’s Problem 5 for the Weyl algebra VV Bavula …

Modules over quantum Laurent polynomials

A Gupta - Journal of the Australian Mathematical Society, 2011 - cambridge.org
We show that the Gelfand–Kirillov dimension for modules over quantum Laurent
polynomials is additive with respect to tensor products over the base field. We determine the …