Stable rank of down-up algebras [PDF]
Journal of Algebra, 2019 We investigate the behavior of finitely generated projective modules over a down-up algebra. Specifically, we show that every noetherian down-up algebra $A( , , )$ has a non-free, stably free right ideal. Further, we compute the stable rank of these algebras using Stafford's Stable Range Theorem and Kmax dimension.
Gallego, Claudia, Solotar, Andrea Leonor
openaire +3 more sources
Generalized down-up algebras revisited from a viewpoint of Gröbner basis theory [PDF]
Communications in Algebra, 2022 14 ...
Rabigul Tuniyaz, Gulshadam Yunus
openaire +2 more sources
Loop Equations for + and - Loops in c = 1/2 Non-Critical String Theory [PDF]
, 1996 New loop equations for all genera in $c = \frac{1}{2}$ non-critical string theory are constructed. Our loop equations include two types of loops, loops with all Ising spins up (+ loops) and those with all spins down ( $-$ loops).
A. B. Zamolodchikov +51 more
core +2 more sources
The $\mathbb Z_3$-Symmetric Down-Up algebra
Journal of Algebra, 2023 31 pages. In Memory of Georgia Benkart (1947--2022)
openaire +3 more sources
On the Imaginary Simple Roots of the Borcherds Algebra $g_{II_{9,1}}$ [PDF]
, 1997 In a recent paper (hep-th/9703084) it was conjectured that the imaginary simple roots of the Borcherds algebra $g_{II_{9,1}}$ at level 1 are its only ones. We here propose an independent test of this conjecture, establishing its validity for all roots of
Baerwald, Oliver +2 more
core +3 more sources
AUSLANDER’S THEOREM FOR GROUP COACTIONS ON NOETHERIAN GRADED DOWN-UP ALGEBRAS [PDF]
Transformation Groups, 2020 23 ...
Chen, Jianmin, Kirrman, E., Zhang, J. J.
openaire +2 more sources
Hochschild cohomology related to graded down-up algebras with weights (1,n) [PDF]
Journal of Algebra and Its Applications, 2020 Let [Formula: see text] be a graded down-up algebra with [Formula: see text] and [Formula: see text], and let [Formula: see text] be the Beilinson algebra of [Formula: see text]. If [Formula: see text], then a description of the Hochschild cohomology group of [Formula: see text] is known. In this paper, we calculate the Hochschild cohomology group of [
Ayako Itaba, Kenta Ueyama
openaire +2 more sources
Form-factors of the sausage model obtained with bootstrap fusion from sine-Gordon theory [PDF]
, 1996 We continue the investigation of massive integrable models by means of the bootstrap fusion procedure, started in our previous work on O(3) nonlinear sigma model.
A. B. Zamolodchikov +21 more
core +2 more sources
Un algorithme efficace pour la comparaison de deux moyennes indépendantes par combinatoire exhaustive; Highly efficient algorithms for the exact randomization test of the difference between two independent means [PDF]
Tutorials in Quantitative Methods for Psychology, 2012 Exact randomization tests in their naïve implementation impose a computation burden that makes them generally prohibitive, forcing the researcher to choose between approximate (i.e.
Pierre Ferland, Louis Laurencelle
doaj
Down-up algebras at roots of unity [PDF]
Proceedings of the American Mathematical Society, 2008 Down-up algebras \(A\) over \(\mathbb{C}\) are generated by two elements and depend on three parameters in \(\mathbb{C}\). The author considers the case where \(A\) is a domain. Then \(A\) is also Noetherian and a generalized Weyl algebra. Furthermore, there is a certain commutative subalgebra \(\mathbb{C}[\xi,\eta]\) with a natural automorphism. It is
openaire +1 more source