منابع مشابه
Pbw Deformations of Quantum Symmetric Algebras and Their Group Extensions
We examine PBW deformations of finite group extensions of quantum symmetric algebras, in particular the quantum Drinfeld orbifold algebras defined by the first author. We give a homological interpretation, in terms of Gerstenhaber brackets, of the necessary and sufficient conditions on parameter functions to define a quantum Drinfeld orbifold algebra, thus clarifying the conditions. In case the...
متن کامل” Quantum Groups , Deformations , and Geometry ”
Andrea Appel: Cohomological properties of universal relative twists Abstract: In 1995, Donin and Shnider provided a new approach to the quantization of a complex semisimple Lie algebra g, using cohomological methods to directly construct a twist, i.e. an element which reduces the nontrivial associator in the Drinfeld category of U(g) to the trivial associativity constraint. Their methods were l...
متن کاملPbw Deformations of Braided Products Chelsea Walton and Sarah Witherspoon
We present new examples of deformations of smash product algebras that arise from Hopf algebra actions on pairs of module algebras. These examples involve module algebras that are Koszul, in which case a PBW theorem we established previously applies. Our construction generalizes several ‘double’ constructions appearing in the literature, including Weyl algebras and some types of Cherednik algeb...
متن کاملPbw Deformations of Skew Group Algebras in Positive Characteristic
We investigate deformations of a skew group algebra that arise from a finite group acting on a polynomial ring. When the characteristic of the underlying field divides the order of the group, a new type of deformation emerges that does not occur in characteristic zero. This analogue of Lusztig’s graded affine Hecke algebra for positive characteristic can not be forged from the template of sympl...
متن کاملQuantum Deformations of Fundamental Groups of Oriented 3-manifolds
We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the self-writhe and total linking number invariants of framed oriented links in a universal way. The relations in a natural presentation of the skein module are interpreted as monodromies in the space of immersions of circles into the 3-manifold.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.08.011