Titlebook: Generalized Lie Theory in Mathematics, Physics and Beyond; Sergei Silvestrov,Eugen Paal,Alexander Stolin Book 2009 Springer-Verlag Berlin

AWRY

Remarks on Quantizations, Words and R-Matricesuantizations related to the grading are described explicitly. By quantizations of .-matrices in the same manner as braidings we obtain new .-matrices that by construction still satisfy the Yang—Baxter equation.

聽寫

Connections on Modules over Singularities of Finite and Tame CM Representation Typefind a connection on .? To approach this question, we consider maximal Cohen—Macaulay (MCM) modules over CM algebras that are isolated singularities, and review an obstruction theory implemented in the computer algebra system Singular. We report on results, with emphasis on singularities of finite and tame CM representation type.

范圍廣

Computing Noncommutative Global Deformations Of D-Modulessider noncommutative deformations of quasi-coherent sheaves of left .-modules on ., and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left ..-module .. when . is any elliptic curve.

airborne

水汽

Bosonisation and Parastatistics discussed. The bosonisation technique for switching a Hopf algebra in a braided category . . (.: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.

存在主義

休戰(zhàn)

https://doi.org/10.1007/978-94-017-1147-0Given a physical system (quantum or classical), the collection of all its binary observables (properties) may be viewed as an orthoalgebra. In the quantum case, in contrast to the classical, the orthoalgebra cannot have a “bivaluation” (a morphism ending in a two-element orthoalgebra). An interestin

larder

Hemoptysis

Toward a Theory of Constitutive Justice,ith .-differential satisfying .. = 0. Having proved that the .th power of a .-connection is the endomorphism of the left B-module F = β?Дд, where A is the subalgebra of elements of grading zero of β, and E is a left я-module, we give the definition of the curvature of a .-connection. We prove that t