Figure 1 - uploaded by Grégoire Naisse
Content may be subject to copyright.
Source publication
In this master thesis we construct an oddification of the rings $H^n$ from
arXiv:math/0103190 using the functor from arXiv:0710.4300 . This leads to a
collection of non-associative rings $OH^n_C$ where $C$ represent some choices
of signs. Extending the center up to anti-commutative elements, we get a ring
$OZ(OH^n_C)$ which is isomorphic to the odd...
Similar publications
We consider the most general Gaussian quantum Markov semigroup on a one-mode Fock space, discuss its construction from the generalized GKSL representation of the generator. We prove the known explicit formula on Weyl operators, characterize irreducibility and its equivalence to a Hörmander type condition on commutators and establish necessary and s...
![Fig. 1 Plot of y = =ψ λ ( p)|ψ λ ( p) versus x = λ−λ ¯ h for Ref. [14]...](publication/331618579/figure/fig1/AS:735081496842240@1552268494187/Plot-of-y-ps-l-pps-l-p-versus-x-l-l-h-for-Ref-14-brown-Refs-20-21_Q320.jpg)
In this paper we present a new higher order generalized (gravitational) uncertainty principle (GUP*) which has the maximal momentum as well as the minimal length. We discuss the position representation and momentum representation. We also discuss the position eigenfunction and maximal localization states. As examples we discuss one dimensional box...
A bstract
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories. Here, we focus on deriving solutions for the Boltzmann weights of the Interaction-Round the Face lattice model, sp...
False theta functions form a family of functions with intriguing modular properties and connections to mock modular forms. In this paper, we take the first step towards investigating modular transformations of higher rank false theta functions, following the example of higher depth mock modular forms. In particular, we prove that under quite genera...
The study of holomorphic functions has been recently extended through the application of diverse techniques, among which quantum calculus stands out due to its wide-ranging applications across various scientific disciplines. In this context, we introduce a novel q-differential operator defined via the generalized binomial series, which leads to the...
Citations
... Indeed, all cohomology groups are free and the relation from the Lemma 4.23 gives us the claim since rk(H k (T am )) − rk(H k (T am ∩ T <am )) counts exactly the number of cells of T am \ T <am . Finally, like in [21] (and proved in [27,Lemma 3.64]), the number of cells is 2n n and this concludes the proof. Corollary 4.25. ...
We construct an odd version of Khovanov's arc algebra . Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the cohomology of the (n,n)-Springer varieties. We also prove that the odd arc algebra can be twisted into an associative algebra.
We construct an odd version of Khovanov's arc algebra . Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the cohomology of the (n,n)-Springer varieties. We also prove that the odd arc algebra can be twisted into an associative algebra.
