نتایج جستجو برای: sup sigma algebra
تعداد نتایج: 116603 فیلتر نتایج به سال:
For an unpunctured marked surface $$\Sigma $$ , we consider a skein algebra $${\mathscr {S}}_{{\mathfrak {sl}}_{3},\Sigma }^{q}$$ consisting of $${\mathfrak {sl}}_3$$ -webs on with the boundary relations at points. We construct quantum cluster {A}}^q_{{\mathfrak {sl}}_3,\Sigma }$$ inside skew-field $$\text {Frac} {\mathscr fractions, which quantizes $$K_2$$ -structure moduli space $${\mathcal {...
Introduction: Bacteria have at least one sigma factor (σ-factor) that transcribes the genes required for cell viability. Usually, transcription of σ-factors occurs and changes in response to a variety of environmental stresses. Expression of σ-factors is one of the strategies which is used in response to different stress conditions. This study was aimed to evaluate the effects...
We present an elementary approach in characterizing Lie polynomials the generators $A,B$ of algebra with a defining relation that is form deformed or twisted commutation $AB=\sigma(BA)$ where deformation twisting map $\sigma$ linear polynomial slope parameter not root unity. The class algebras defined as such encompasses $q$-deformed Heisenberg algebras, rotation and some types $q$-oscillator w...
<sec>Potential energy curves (PECs), dipole moments (DMs) and transition (TDMs) of the X<sup>2</sup>?, a<sup>4</sup>?<sup>–</sup>, A<sup>2</sup>?<sup>–</sup>, b<sup>4</sup>?, B<sup>2</sup>?, C<sup>2</sup>?<sup>+</sup>, D<sup>2</sup>?, 2<sup>2</sup>?<sup>...
Let $$\sigma _{1}, \dots , \sigma _{k}$$ be the elementary symmetric functions of complex variables $$x_{1}, x_{k}$$ . We say that $$F \in {\mathbb {C}}[\sigma _{k}]$$ is a trace function if their exists $$f {C}}[z]$$ such $$F(\sigma _{k}) = \sum _{j=1}^{k} f(x_{j})$$ for all {C}}^{k}$$ give an explicit finite family second order differential operators in Weyl algebra $$W_{2}:= _{k}]\langle \fr...
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. Using the analogy with SU(2) Thirring model and the O(3) nonlinear sigma model we prove a similar relation between sine-Gordon theory and a one-parameter deformation of the O(3) sigma model, the sausage model. This allows us to write ...
We present two examples of SUSY mechanics related with Kähler geometry. The first system is the N = 4 supersymmetric one-dimensional sigma-model proposed in hep-th/0101065. Another system is the N = 2 SUSY mechanics whose phase space is the external algebra of an arbitrary Kähler manifold. The relation of these models with antisymplectic geometry is discussed.
We obtain elliptic genera of monopole string in 5d MSYM. We find agreement with the corresponding TST-dual dyonic-instanton single particle indices in arXiv:1110.2175. We make use of (2,2) superconformal algebra and its spectral flow, and the agreement can therefore be taken as evidence that monopole string (4,4) sigma models are exactly quantum superconformal.
We present summation identities for generalized harmonic numbers, which generalize reciprocity laws discovered when studying the algorithm quickselect. Furthermore, we demonstrate how the computer algebra system Sigma can be used in order to find/prove such identities. We also discuss alternating harmonic sums, as well as limiting relations.
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