A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups

We give a description of the (small) quantum cohomology ring of the flag variety as a certain commutative subalgebra in the tensor product of the Nichols algebras. Our main result can be considered as a quantum analog of a result by Y. Bazlov

Towards Spinfoam Cosmology

We compute the transition amplitude between coherent quantum-states of geometry peaked on homogeneous isotropic metrics. We use the holomorphic representations of loop quantum gravity and the Kaminski-Kisielowski-Lewandowski generalization of the new vertex, and work at first order in the vertex expansion, second order in the graph (multipole) expansion, and first order in 1/volume. We show that the resulting amplitude is in the kernel of a differential operator whose classical limit is the canonical hamiltonian of a Friedmann-Robertson-Walker cosmology. This result is an indication that the dynamics of loop quantum gravity defined by the new vertex yields the Friedmann equation in the appropriate limit.Comment: 8 page

Projective quantum spaces

Associated to the standard $SU_{q}(n)$ R-matrices, we introduce quantum spheres $S_{q}^{2n-1}$, projective quantum spaces $CP_{q}^{n-1}$, and quantum Grassmann manifolds $G_{k}(C_{q}^{n})$. These algebras are shown to be homogeneous quantum spaces of standard quantum groups and are also quantum principle bundles in the sense of T Brzezinski and S. Majid (Comm. Math. Phys. 157,591 (1993)).Comment: 8 page

Braided Hopf Algebras and Differential Calculus

We show that the algebra of the bicovariant differential calculus on a quantum group can be understood as a projection of the cross product between a braided Hopf algebra and the quantum double of the quantum group. The resulting super-Hopf algebra can be reproduced by extending the exterior derivative to tensor products.Comment: 8 page

Program Les Belajar Gratis Yayasan Al-kahfi dalam Pengentasan Putus Sekolah Anak-anak Kampung Sinaba

Tulisan ini menjelaskan tentang putus sekolah di Kampung Sinaba tepatnya di Desa Kilasah Kecamatan Kasemen dengan bermacam-macam faktor yang mempengaruhinya. Pendidikan merupakan salah satu hal penting dalam memajukan manusia dimana pendidikkan juga merupakan suatu bentuk untuk memajukan suatu negara, dimana pendidikan menghasilkan atau mencetak orang-orang yang terampil, cerdas, berpengetahuan, berprestasi, bermoral dan etika yang baik. pendidikan di Kampung Sinaba perlu perhatiankan, karena rata-rata masyarakatnya berpendidikan hanya lulusan SD saja dan banyak yang buta huruf, bahkan anak-anak di Kampung Sinaba banyak yang tidak melanjutkan sekolah dikarenakan faktor yang melatar belakanginya dan ada anak-anak disana bekerja sebagai buruh, anak-anak tersebut adalah mereka-mereka yang putus sekolah. Dan artickel ini untuk mengetahui Program Les Belajar Gratis (LBG) yang di dijalankan oleh Yayasan Al-Kahfi Kota Serang. Program Les Belajar Gratis merupakan salah satu upaya untuk mengurangi angka putus sekolah dan memberikan semangat belajar, serta membangun kepribadian mereka agar memiliki bekal demi masa depan yang lebih baik dan memberikan fasilitas anak-anak di Kampung Sinaba tepatnya di Desa Kilasah Kecamatan Kasemen. Program yang dibuat oleh Yayasan Al-Kahfi sudah berjalan selama 1 tahun dimulai dari tahun 2016 bulan april dan masih berjalan sampai sekarang walaupun program tersebut para orang tua atau masayrakat Kampung Sinaba kurang begitu antusias untuk mendukung anak-anaknya untuk mengikuti program Les Belajar Gratis (LBG) yang dibuat Yayasan Al-Kahfi, tetapi karena berjalannya kegiatan program tersebut dalam memotivasi anak-anak Kampung Sinaba dan memberikan peralatan dan perlengkapan sekolah menjadi inspirasi anak-anak Kampung Sinaba dalam menempuh pendidikan atau melanjutkan pendidikan yang lebih baik, menanamkan nilai tentang pendidikan dan mengurangi angka putus sekolah dapat membantu meminimalisir masalah-masalah yang berhubungan dengan putus sekolah tersebut. Kata Kunci : Program Les Belajar Gratis, Yayasan Al-Kahfi, Kampung Sinaba

Quantisation of twistor theory by cocycle twist

We present the main ingredients of twistor theory leading up to and including the Penrose-Ward transform in a coordinate algebra form which we can then `quantise' by means of a functorial cocycle twist. The quantum algebras for the conformal group, twistor space CP^3, compactified Minkowski space CMh and the twistor correspondence space are obtained along with their canonical quantum differential calculi, both in a local form and in a global *-algebra formulation which even in the classical commutative case provides a useful alternative to the formulation in terms of projective varieties. We outline how the Penrose-Ward transform then quantises. As an example, we show that the pull-back of the tautological bundle on CMh pulls back to the basic instanton on S^4\subset CMh and that this observation quantises to obtain the Connes-Landi instanton on \theta-deformed S^4 as the pull-back of the tautological bundle on our \theta-deformed CMh. We likewise quantise the fibration CP^3--> S^4 and use it to construct the bundle on \theta-deformed CP^3 that maps over under the transform to the \theta-deformed instanton.Comment: 68 pages 0 figures. Significant revision now has detailed formulae for classical and quantum CP^

Nuansa Konvensional dalam Perbankan Syariah

This article is an evaluation of the Islamic bankings performance is currently being assessed are not much different from conventional bank. Many record given by the researchers and the general public against the Islamic bank abaout sharia supervisory board, core bisnis of Islamic bank, and reviewers closer look at product of Islamic banking

Waves on Noncommutative Spacetime and Gamma-Ray Bursts

Quantum group Fourier transform methods are applied to the study of processes on noncommutative Minkowski spacetime $[x^i,t]=\imath\lambda x^i$. A natural wave equation is derived and the associated phenomena of {\it in vacuo} dispersion are discussed. Assuming the deformation scale $\lambda$ is of the order of the Planck length one finds that the dispersion effects are large enough to be tested in experimental investigations of astrophysical phenomena such as gamma-ray bursts. We also outline a new approach to the construction of field theories on the noncommutative spacetime, with the noncommutativity equivalent under Fourier transform to non-Abelianness of the `addition law' for momentum in Feynman diagrams. We argue that CPT violation effects of the type testable using the sensitive neutral-kaon system are to be expected in such a theory.Comment: 25 page

Constructions in 'language and perception'

This field guide is for eliciting information about grammatical resources used in describing perceptual events and perception-based properties and states. A list of leading questions outlines an underlying semantic space for events/states of perception, against which language-specific constructions may be defined. It should be used as an entry point into a flexible exploration of the structures and constraints which are specific to the language you are working on. The goal is to provide a cross-linguistically comparable description of the constructions of a language used in describing perceptual events and states. The core focus is to discover any sensory asymmetries, i.e., ways in which different sensory modalities are treated differently with respect to these constructions

Braided Hopf algebras obtained from coquasitriangular Hopf algebras

Let $(H, \sigma)$ be a coquasitriangular Hopf algebra, not necessarily finite dimensional. Following methods of Doi and Takeuchi, which parallel the constructions of Radford in the case of finite dimensional quasitriangular Hopf algebras, we define $H_\sigma$, a sub-Hopf algebra of $H^0$, the finite dual of $H$. Using the generalized quantum double construction and the theory of Hopf algebras with a projection, we associate to $H$ a braided Hopf algebra structure in the category of Yetter-Drinfeld modules over $H_\sigma^{\rm cop}$. Specializing to $H={\rm SL}_q(N)$, we obtain explicit formulas which endow ${\rm SL}_q(N)$ with a braided Hopf algebra structure within the category of left Yetter-Drinfeld modules over $U_q^{\rm ext}({\rm sl}_N)^{\rm cop}$.Comment: 43 pages, 1 figur